Ah great, that helps; thanks for adding this explanation. So a few hundred meters/yards is indeed the maximum to be expected and you'll likely have pretty good line-of-sight in most cases. The range you need is too much for NRF24 to work well, but HC12 might work well especially if you strategically place the antenna and use a half-wave dipole. It'll help if you put the radio modules or at least the antennae on top of poles/masts, let's say 2-3m or so above ground level so they're above most of the obstacles.
My main concern would be the go-carts themselves; the ignition can be noisy, I suppose. You'd have to do some field testing to see how bad it gets.
Thanks! Also to all the others for answering this quickly, i think i will try the HC12 then and see if i can do some testing with the interference of the beams and karts!
I can assume i can check if the packet is good or not and thus not display anything when the packet is malformed or didn't recieve it correctly, this wouldn't be a problem.