I know for a fact there are only specific tires allowed on the golf courses and depending upon the tires they need to be on all 4 wheels or just the back 2.. Here is the policy and the link to the approved tires. NOTE most 4 wheel carts are not examined for tires before being allowed to use teh TV golf courses...but having something unusual like you propose, i would make certain you are in compliance for people will be looking !
Golf The Villages