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More iofo needed:
How big is this R/C car, are we talking sometyhing under 300mm end-to-end?
What Video quality do you need? - is it to "steer" the car, so any likeness is a lot better than nowt, esp. when it's out of sight.
Next, posters need to know the terrain....coverage you need, etc. - for if it's "out of sight" that will present another problem, unless you can figure out a fix. (transmission range).
I've seen 1.2Mp "webcam" which are abouit the size of a matchbox, using only a 9v PP3 battery - but the transmission range wasn't exactly great, rather like room to room, I guess. They were quite cheap, about £20/$40 say.
Have you tried "model car" forums...?