In short...Don't worry!
Just returned from 3 weeks at DIVI.
The resort has great security and the staff in not transient. The safes will hold a tablet but not a full sized laptop which I would keep in a drawer.
Your wife will like running the property unless she is "hard core". I do not recommend running the roads near the property as they are narrow and quite busy. The gym has several newish treadmills and is air conditioned, a must in May. Get a car...GPS not needed but plan to get lost a few times....part of the fun. I like the 2nd floor rooms with balcony...no worries re theft of alarm clock! (Sorry Jazz Gal...couldn't resist).
I do not have any concerns re theft of belongings from the beach