LAN, you've got way to much to deal with now before being worried about trusting people *after*.
No one can tell you what to do, and only you know when enough is enough. Everyone's threshold is different.
But first things first. Read in the upper left Healing Library about the 180, and DO IT. The more you engage with him the more you stay emotionally entangled. The 180 is not to punish your WS, but rather it is to give you some mental distance. With that distance comes clarity. And you really need that clarity right now. That mental distance also starts the emotional detachment process. Don't worry, you will fall off the horse once in a while. We all did. But when it happens, climb right back on and get back to it.
You cannot force him out of the marital home. The only way to legally get him out is to file for D and ask for exclusive use of the home. Until that happens, he can, and will, stay and make your life miserable.
Now, start thinking about if/when you do file. Will you be able to afford the home on your own? Will your father be able to contribute financially?
I understand you want to keep the house, but sometimes it becomes a forced sale issue (forced by the court). Or, you may have to pay him half the equity. Not always, but quite common.
Yes, it is scary to pull the pin on the marriage, but would you rather stay in a miserable, untenable existence as the alternative? It is possible the cheating is simply a dealbreaker for you, and that is okay (it was for me!). You owe no one an explanation.
If you haven't already, please go have a consult with an attorney to find out what you can expect from a D in your jurisdiction. Every state is different. Knowledge is power.
Oh, and don't worry too much about the trust factor right now. You are in the thick of things. When I was there I was in a constant rage, and pretty much hated the world. Time is magical though, and when you get out of a toxic situation, you will be surprised how much your outlook changes (for the better).