If your H has been told to cease contact, ( and I know you don't know how REALLY truthful that is at the moment), maybe now is the time to listen and be welcoming?
Welcome a cheater back with open arms?
He's just going to do it again... he needs to take some ownership.. he's beein avoiding any ownerhsip of his cheating thus far... wont' even admit it fully.
If you baby him and just invite him back he's just going to cheat again.