Unless he has given you transparency (letting you see his email/computer/cell phone) whenever you ask, and has sent her a "No Contact" letter that you sent together, chances are that he's still cheating.
He's just trying to work both sides as long as he can until he is forced to make a decision. If you remove yourself as a choice, you will probably see him slink back with his tail between his legs once he realizes how good he had it.
People want what they can't have, and it sounds like he can have you whenever he wants you. Being chased by you and the OW is stroking his ego big time.
Be less available to him, and stop asking him out.
About the bedroom, he left, so why should he be comfortable? It's your house. You stayed. Let him be uncomfortable for a while.
Next time he leaves, consider moving some of his things out of the bedroom to help him get the message. When he leaves, where does he stay, by the way?
I know this sounds harsh and unnatural, but he needs to see how bad things could really be in order to respect you and the marriage more than he does now.
