My friend sent me to this site after he bought some error free LEDs for his Lexus. I ordered a set today from here. Error Free No Resistor Required CREE High Power 7440 LED Bulbs Supposedly they have everything built in for plug n play installation. I'll let you know how it all goes when I get them. AND according to the site's compatibility database these will work the C's with no issues.
It is my understanding that the C does NOT have a relay for this. It is all controlled electronically.
So I got the lights. I misunderstood what exactly I was buying.... The lights came with the resistors but it's these somewhat giant black boxes.... Now they don't get that hot but they get warm. And they do work. They are bright and high quality. I got one side in but not the other.