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Hi Honey,
You sound like a very strong, kind and capable woman. I don't know if you are looking for replies or not but I just wanted to reply because I know what it's like to be talked back into the marriage. It wasn't good and it was a long time later before I made another attempt to leave and then finally I got away for good on the third time.
I didn't know he was gay in denial. You do. You have some solid evidence that he was timing his sextings with men for when you were at work. I don't care how much counselling you both do, he hasn't changed his nature and he is sweet talking you now and you are feeling guilty for not responding with an I love you back. Don't let him do that to you, don't let him get away with it.
You will feel stronger and better and more confident in yourself soon, just on your own sake. why not keep your new home for yourself and if you end up deciding you can do with his help around the place and who cares about the sex, then for heaven's sake divorce him first.
wishing you all the best, Lily