She'll just have to sleep with you if she wants the bed. There is absolutely no reason to go to the floor. She can go to OM's house if she wants a bed to sleep in.
She's only 28 and is already fairly blatantly cheating on you.Hopefulll, if it were me, considering your young age and lack of children, I'd count my lucky stars I didn't have children and cut my losses. Just mentally consider yourself divorced from her and proceed as though life with her is over. You need the detachment anyway. Get your own head on straight. Process through this. It isn't because you are unworthy of love. She just isn't capable of showing it. Consider best case scenario, she says she wants to still be married. What would your marriage look like after all this? I know people get over affairs, but usually that doesn't entail your spouse rubbing it in your face. The only thing worse she could do would be to have OM sleep over in your bed while you sleep on the floor. With you giving in so much, I don't see that as too far away.
You cannot be lonely if you like the person you're alone with. Dr. Wayne Dyer