You know that human beings are emotional at our core, so we can't be totally logical. We can, however, manage a lot of our emotions. We have them, after all. They don't have us.
As you know, you're on a roller coaster that keeps going down into our worst selves My reco is to be on the roller coaster while observing yourself. As an observer, let yourself ride the waves. Let your emotions flow. watch yourself feeling your anger, grief, fear, and shame. Feel the feelings.
Logic won't heal you. Managed emotions will - but that 's 'managed', not 'stuffed'.
*****
As I spiraled down over the first 6 months after d-day, I realized I had 3 giant questions:
1) Does she love me?
2) Is she in love with me?
3) Will she be monogamous from now on?
We had been together for 45 years on d-day. It was gut-wrenching in the extreme to realize those questions were critical again, as they had been 45 years earlier.
There was no way I wanted to wait for answers. There was no way to get quick answers. The signs that I had 3 'yes' answers showed up on d-day. It took 3.5-4 years of consistent loving actions by my W before I accepted that the answers were 'yes'.
There's no way to rush recovery. The quickest way is day by day.
*****
It strikes me as difficult to get HB going from separate bedrooms. It's difficult to get HB going if you don't want sex with your WS.
You may be the obstacle to HB. That's 'may be'. Look inside. What do you want? Figure it out, and go for it.
Alas, it's not quite straightforward with rape in your W's past. What, if anything, is she doing to process that trauma out of her body (so much easier said than done)?
*****
Alas, I never studied statistics and probability, but s & p are critical elements in how I think and navigate life, and they were critical to my navigating recovering from being betrayed.
IOW, I think you're on the right track.
*****
Healing from being betrayed requires - requires, IMO - massive increases in self-respect, in self-esteem, and in self-love. The self-love, etc., does not come from the outcome. It comes from how you reach your outcome.
(Not so BTW, healing for WSes is the same - massive increases in self-respect, in self-esteem, and in self-love. A person who loves and respects themself may leave, but they won't betray.)
That means making the choices that seem best to you.
You get 2 types of advice from SI. Some advice tells you to do specific things. Other advice guides you to finding the path that's right for you.
Be careful about what advice to take.