I see what dbmod is saying up there, and I think it may be worth a try...as long as it's done without any expectations, as always.
It may give you two a chance to be in a neutral environment, not brought together by any obligations, such as kid activities. If she agrees to go, then go as "friends". Maybe you can enjoy your kids together and may find some things to laugh about. She may appreciate little things you could do for her, like getting her a cup of coffee in the morning. If you go somewhere with spa services, treat her to something relaxing. Hand her a drink and tell her you'll take the boys and let her relax. Or, maybe bring cards, or other portable (non-electronic) games and ask her to join you.
Just be prepared that there is a very good chance that, even if she agrees to go, she will go with a wall around her. She may keep to herself and not engage too much. She may complain. Will you still enjoy your time away and not let her potential mood bother you?
I say, if you want to spend time away as a "family" and she agrees, then go for it...what do you have to lose? You and your W seem to get along well for the most part. Have a great time and enjoy your kids together. No R talk, no hurt feelings, no (sad) emotions...just plain "live in the moment" time. It might be really good for her to get out of the house.
