Minor accident, how to proceed with repairs

I unfortunately had a minor accident in my 2012 Prius v yesterday morning and could use some advice on how to proceed with repairs. I was on an entrance ramp to the high way when my front tires suddenly lost traction (very very quick from perfect traction to none, I grew up in Alaska and am pretty good at handling slides, it was cold, tires are terrible, I actually purchased new ones that have not been put on yet, guessing I hit a bit of ice). The car slid into the outside curb (approx. 17-24mph I would guess, not to violent as I have no whiplash or muscle strain after, I was going 30-35 when the slide started), with me braking and steering away. It bounced off of the curb and into the ditch on the other side as after bounding off the curb I could not force the wheel out of the far right turn it was in (totally locked up). It fetched up high centered on the front middle of the car stuck. Luckily three van loads of Mexican laborers stopped and offered to lift the car out, which they were successful in doing (absolutely odd and unexpected but extremely kind and wonderful, so very grateful).

I was able to drive off afterward but the steering wheel is to the right when driving straight and steering effort is greatly increased.
I looked underneath and the lower part of the front is quite messed up and and the underside plastic is a loss, along with the left front chewed up (as is to be expected). Otherwise I could not see any noticeable damage to lower arm or steering linkage. The radar guided cruise control also throws E3 error code and the traction control light is constantly on (although traction control is not engaged).

I took it to a local repair shop (repairs not oil changes, but not a body shop). They inspected and stated that the left front wheel measures out slightly closer to the wheel well than the right side but otherwise cannot detect any kind of bend or damage. They and gave me two options, send it to an alignment shop for ~200-280 dollars to be aligned as best they can or have the lower arm and linkages replaced and then try to align for around $1000.
I am leaning towards replacing the control arm and linkage, but after talking to a knowledgeable family member I was advised to take it to a body shop (I had been under the apparently mistaken impression body shops were mostly about exterior dents and body work) to have the frame and other components inspected and that the strut and strut rod probably should also be replaced.
Does anyone on the forums have any advice to give? I want to get things fixed as best they can be to enable me to continue to use this vehicle for years.

 

I will be paying outright for the damage myself. As I mentioned it has been inspected by a mechanic who says he cannot see any obvious mechanical damage but also cannot rule it out.
I am wondering perhaps if a body shop is a more appropriate place to have it inspected and repaired.

 

Telling how? It was simply unexpected because I did not think anyone but a tow truck could help me. It is what happened, I had just gotten off the phone ordering a tow truck (30-45 minutes to wait) when they pulled up and helped me. I though it was pretty awesome.
Yeah I was thinking about a dealership, but the car does not feel safe enough for me to get it up past 30 miles an hour and the only dealer ship close enough has pretty terrible review online. I am afraid they may run up the repair bill unnecessarily and I have experience with a local Ford dealership with my previous vehicle that dealerships are not always to the best diagnosticians either, although you would think they would be.

 

Sorry good catch I meant left front, left rear did not contact. I simply mistyped, fixed.

 

I do not have comprehensive so insurance is not a option (have learned by girlfriends experience that making claims on vehicle increases insurance by premiums enough that it costs more in the long run than paying out of pocket). Paying out of pocket is not a concern, just do not want to get unnecessarily fleeced (for example like the ford dealership tried to pull on me, tried to do $1000 of work when only a broken rubber vacuum hose needed replacing).
Carfax was already 'dirty' when i bought it, not worried about that. Plan on driving it into the ground anyway just like I did with my last vehicle.

 

Unfortunately I didn't think to take pictures so I do not have any. I will try to do so next time I have access to the car.

 

Thanks. I figured the wheel would need replacing with refurbished. The shop the car is currently at does not have the resources to do that sort of work. Sounds like I will need to move it elsewhere.
It happened on the entrance ramp to 495 West from university blvd in Takoma Park. Started sliding around about here: Google Maps and then hit the curb just past the yellow sign. Stopped with front right wheel hanging over the outflow ditch on the right hand side of the exit.

 

No rain. Was a little wet on roads. Pretty sure it was ice given is was 30 outside and how quickly it let go.

 

Update. It was a challenge to find the correct shop to take the car to. As was my initial belief most body shops are about dings and dent and to not do suspension/steering work. The first shop I took it to were quite nice and honest but did not know enough to do the job properly and were clearly guessing on what to do. Wasted $100 on inspection fee with them.
Shop it is at now seems much more competent with these sorts of repairs. They said initially that the lower control arm, knuckle and strut needed replacing for around $1500.
At my request they had the body shop next door remove the underside plastic and other damage from the rocks it high centered on in the ditch to get a quote on replacing. When they did so they found one fog light gone, a radiator mount destroyed, along with dented lower radiator plus some other things. Guess estimate for this is $2000 to $3500. They also emphasize they may find more as they disassemble.

So in total looking at $3500 to $5000 to fix. Even worse than I expected. They are supposed to get back to me later with more specifics. Not sure what the right move is, I think I sam just going to have to choke it down and pay up to have it all fixed and hope thats the end of it.

Funnily enough the wheel is just fine, cosmetic damage.