Paul,
You may already know these places, but here are some that don't get much attention it seems?
Sakonnet Golf Club- Little Compton, RI--Donald Ross' old vacation spot, started a few holes for his wife, and grew from there. There was some funky renovation done to a few holes. I am a big fan.
Rhode Island Country Club- Barrington, Rhode Island-- Donald Ross, they hold the CVS Charity Classic here, fun golf course to play. Some holes on the Narragansett Bay. Sporty.
Wanumetonomy Golf Club- On Aquidneck Island where Newport CC is-- Good fun Seth Raynor. Some very interesting green complexes. Fun to play, and a great club that 'gets it'.
-Mike