There is nothing wrong with allowing the due process to go on.
Let's say that O.J. was still the star running back for the Bills when he killed those people. He was found "not guilty", so I guess once he got out of jail, he could have resumed his Bills career.
You run a slippery slope if you start suspending guys before they have their day in court. The problem with this policy is that guys can play while their cases are pending (and fresh in the minds of the public), and if and when their suspensions come, their original act are long since forgotten. It gives the NFL an image problem in this immediate gratification world we live in.
Unless the NFL is going to issue a "you are suspended until your case is adjudicated rule" which would be almost unenforceable and would most likely lose any challenges before a court and or arbitrator, the NFL is really stuck in a bind when it comes to these types of cases. Unless of course, the team does the right thing and releases the player right away.
Now there are plenty of holes in the case against AH, I would not be surprised at all, if he is found "not guilty", then what will the NFL do??