Let's start over. This RC car is currently controlled how?
Been so long since I messed with them, but didn't they operate on something like 24 or 29Mhz crystals?
I assumed you had a 2.4Ghz transmitter and receiver (which is totally possible today, just not something I have seen) But you actually want to use WiFi, as in IP protocol (yes, I know protocol protocol) to remotely control a car?
There might be some Zigbee kits out there that would work, but that is whole other level of development, with some software writing thrown in for good measure.
If you want long range control I suggest looking into the high end stuff for RC aircraft. They can have impressive ranges.