I think an AWD/3WD Pigeon would be more interesting than a 1WD Pigeon. More power always seems to be more fun than less power. There is this mod, which has a 5WD option with a second rear axle. It's unsupported, but it still seems to work.
It also supports 3WD, you just have to select the correct driveshaft. I'm not sure if it can be used as a FWD only, but I'll consider adding that. This version could have some bugs, and I am currently fixing the mod. For example, if you stay still, the camera will start rotating counter clockwise.