Oh Ghost, you staying in that house under the false hopes that it will get you back together is going to keep you stuck forever. I mean forever. Because if anything, she needs to be away, not in the in the same house.
I have not seen one marriage repaired by an in house separation. They cause mostly torture in most situations. And you appear to be tortured.
I have to say honestly the LAST thing that is going to save your marriage is staying in the house together.
I fully understand about missed intimacy. I have dated on and off for 8 years, mostly off, lol. I got out of my last relationship in March and miss it so much. But I am not going to find that intimacy with my last R. But think about it. You miss it, but you will definitely not get it if you live with the hopes you are going to get it from her. If you do not move yourself forward into an emotional place where you are ready to date, you aren't going to get that intimacy. This isn't me saying date right now. It's saying you aren't going to find it with your W.
I could go on for days here, but until you decide to accept this and move forward, no on can get you to do anything about it.