Did I hear someone invite me to a Carrabean cruise? LOL. Seriously, I think a trip with you and the kids is a great idea. YOu should also try to go out with friends and have some adult time.
About 2 years ago, me and a few friends (all male) decided to set up a monthly poker night. We alternate at each others house and once a year we do a guys weekend camp trip (although my girlfriend calls it a sausage fest). I find these times with the guys, away from the kids to be a blessing.
So, continue to ignore your ex. The kids will come to expect less and less from her. Not your problem. Yes it [censored] for them, but you cannot fix it for them. Be the best dad you can be and leave the rest to God.
Peace, Eric
"The difficulties of Life are intended to make us BETTER,not bitter". "Fear is a prison, where you are the jailer. FREE YOURSELF!" "Life is usually all about how you handle Plan B." - Jack3Beans