It looks like a lot of campgrounds, Audubon nature reserves, state parks, and the only major city is Providence which is museums and food.
Theres a killer arcade called Freeplay in Providence. One fee <$10 to get in and all the games are set to free play. Great pinball selection if you’re into that. Cheap beer and okish food while you’re there. 21+ most days.
Only thing I know about Rhode Island is that they made chickens there
Hope this helps!
Go to Woonsocket and see a movie at the drive in!
If you end up in Newport and you’re up for a little outdoorsy activity, the cliff walk is very nice and has great views of the coast: https://www.discovernewport.org/things-to-do/cliff-walk/
The Breakers - this is the Rockefeller’s summer home in Newport. It’s open for tours, and though I don’t recall the prices being crazy, it’s definitely been a while.
It’s so ostentatious and over the top, but beautiful, and full of wonderfully made things.
I think it’s interesting to consider our modern billionaire class as equivalents to Rockefeller’s gilded age.
Oh, and while you’re in RI make sure to get a Del’s frozen lemonade.