I wouldn't go Zoysia either. Thats a waste of the extra money Zoysia would cost you.
With Bermuda, you just basically want to stress to your members to not keep all the divots together. Bermuda recovers better if there is spacing between the divots. Not sure the best way to explain that, but with how many people will take divots all in one area, cool season grasses like Rye and Bent will recover better with that. They want to separate their divots with Bermuda.