Similar stich in that my H and I were v. good friends and ML during his EA.
In my stich, I moved out - twice. The first time was for a couple weeks - stayed with relatives. The second time I moved for a month to a town 30 min north of where we live and rented a month to month furnished apt.
During that month - yes I was lonely at times. But I believe it really helped me - and indirectly the stich. I really GAL and detached. I could focus on me and not worry about where he was and who he was with.
When I came back after a month - he wasn't ready to commit yet. So he ended up moving into a friends house for a month. That pushed him over the edge. After a month he was recommited. I think it helped too that OW rejected him.
I moved out for me. It was a way that I could control at least part of a stich that was out of my control.