A little further, but we have taken our kids to the Hyatt Regency Greenwich a few times now for this exact reason. The pool/hot tub are pretty solid, but the atrium with all the plants and fountains is like a fun jungle getaway in the colder months. They absolutely loved it. Plus the food options in the surrounding area are top notch (Jewish bakeries, Italian deli's, etc.). Surprisingly, their rates are pretty affordable as long as there isn't an event being hosted.

I'm truly sorry to hear about her health battle. I hope you can find a good place to make some memories. Good luck!