Here's an idea for the priesthood session...invite the woman, but just as they do in the temple, let's segregate the hall, and on the one side all women and the other side all men. The men can bond with their sons and the women with their daughters and it's great conformity training for when they've paid their dues to go to the temple!
Lol! Would sure make for creepy first visits for new converts too
At least they'd see it for what it really is!