Pulling TT through Newport Rhode Island

Sure, just avoid the water front. Hit the Jamestown and Newport bridges and take state route 114. There are a few places to stop along the route where you could stop and unhook, but if you have an extra day or 2, stop at Fisherman's State Park on Point Judith and drive the tow vehicle to Newport for the day. The run up from the Newport Bridge to route 24 and I-195 to i-495 north to Normandy is an easy drive.

The Breakers is probably the best mansion tour.

2x on Fisherman's State Park. The take the tow vehicle to your local destinations. Have a smaller class C and I have my hands full driving around Newport. As posted if you can spend a couple of days investigating the Point Judith and the Jamestown area (lookup Beaver Tail point in Jamestown) you won't be bored. How about a 1/2 or full day deep sea fishing trip right out of Galilee, right down the street from the mentioned State Park. Plenty to do and see.
The Newport mansions, and the shore line drive there are great visits.

You won't get into fisherman's memorial in the summer without reservations.