What handling?

I want to make the wheels of a car to remain in a ... narrow channel, no matter how tiny the channel is. As you may know, if you go with the wheels in a little hole, you can get out of that hole. But I want to drive the car with all the 4 wheels into 2 channels and I want the wheels to stay in those two long channels while I drive the car, no matter if I try to go left or right (like a tram). I hope you will understand. I already straiten the wheels to be very tiny, in order to fit in those channels.

Thanks in advance for any useful information!