Check out a VRBO in Palmas del Mar in Humacao.
https://www.vrbo.com/vacation-rentals/villas/caribbean/puerto-rico/puerto-rico/humacao/palmas-del-marWe got one with a private pool. Other times we've stayed there in one with a community pool.
The restaurants in Palmanova Plaza aren't great but, they're good enough.
Compared to LA, the prices for dinner were at least 30% less.
Also, some of the places come with a golf cart, or you can rent one. Kids love the autonomy of driving the golf cart around.
Humacao has a Walmart so you can stock up on food for the week. If you need Costco, they've got that and Sams Club in Caguas on the way to Humacao from San Juan.
If you want to stay closer to San Juan, check out this place.
https://www.vivobeachclub.com/We went to the Ocean Lab brewery there for lunch in March 2023 and thought it looked like a pretty fun place to stay.
If you're up for the West Coast, we stayed at a place in Rincon before that was right on the beach and had the big outdoor chess set. Great for the kids.
https://www.rinconbeach.com/EDIT: After re-reading what you're looking for, I think that Vivo Beach Club is probably what you want.