Your relationship with your ex-wife is only your business. Speaking about the trip, I think, this is a great idea. Even if you don't have luck with your wife, you will have a good vacation. The Dominican Republic is very beautiful. I read about it on one of the top travel blogs
https://travelsites.com/best-travel-blogs/ and decided that I should visit it for sure. So, it would be great if you shared your experience here. Thanks in advance. And good luck!