LO, nothing wrong with male friends. Its very boosting, to remember that you are a good person, a fun person, someone definately worth spending time with. Just do it for you and no one else. I don't believe in breaking your marriage vows, but do believe in doing anything to make your remember that you are valued by many.
I worked with mostly men and I disagree with it being impossible to having friends of the opposite sex. There are some men out there that would take advantage of Olive being vulnerable at this time, just as there are women out there that would do the same thing to a man...
I really wanted to comment on H's counselor's suggestion. I wouldn't go anywhere Olive. Your D will be fine when/if the D actually happens. You don't want to spend time away from her. If H so chooses to do so, then fine. I have fought this battle with my H (he even jokingly suggested we live together after the D to raise the kids), and he wanted basically the same thing. I thought about it, it didn't feel right, so I am not doing it.