The Soaring club I belong to has two Carts, one four stroke and one two stroke. The way they work is you step on the gas and that spins over a car-like starter motor. That motor gets the cart moving until the gas engine kicks in, then it becomes a generator to charge the battery.
The four stroke doesn't have the top end of the two stroke, but the two stroke needs more speed before the gas engine lights off. For our purposes (towing gliders) the speed of the tow is lower than the speed required to light off the engine so you run on battery all the time.
Battery powered carts? Price a deep cycle battery and multiply that by 4 or 10 depending on the cart.
Scooters are more entertaining......
YMMV, Dan