Unless you set up an offshore bank account, you’re out of luck. 
WagerShare really needs to get on the ball and get some U.S. affiliate payment methods in place. (CSC24seven, often suggested by WagerShare, is a crappy, complicated solution.)
There are many programs that don’t accept U.S. players, but that do have U.S. affiliates, and they have no problem paying their U.S. affiliates each month by wire or by check.
A few examples: Virgin Games, PartnerLogic, Roxy Affiliates, Prime Partners, and several Playtech casinos.