Male rape by women is nothing close in frequency to rape of women by men and it's easy to prove.  

Smaller towns have trouble supporting safe houses for women, I would be surprised if one can be funded for men.   

I think you're right about men being falsely accused some of the time and the court should absolutely not assume guilt.    You must know rape is often not prosecuted, and if they are, proof is very difficult and seldom leads to conviction.    What damages the guy is  the public assumption of guilt and shaming is real and damaging.    The same thing happens to women who come forward, people assume 'they asked for it', which is one reason women do not bring charges.  Americans have trouble talking honestly about sexuality

Men and women have some serious work to do in their relationships.    Some want to 'go back' but that can't happen, literally can not happen.    We can making changes in our current course however.