I play both about once a year and like them both pretty much equally. I find Triggs to be a bit more difficult then Shenecosset. Not quite as open as Shenecosset and while some trees could be removed they are not too obtrusive and still has wide fairways. Triggs has greens that invariably slope back to front so always best , as typical, to be below the hole. Greens are typically in good shape and quick and fairways are decent. Traps are a bit too rough around the edges but feature a very natural look in the fairways with lots of tall grass. The rough is quite inconsistent and between tee and fairway typically many small rocks, rutted out areas, etc.
I find that I can remember the holes at Triggs equally as well as Shenny. Also both highly walkable with greens and tees close. Triggs has a bit more elevation change. It is a muni in Providence and clearly gets a muni crowd. During the week pace usually isn't too bad but I have found it variable.Both are well worth playing and rank high on the fun to play scale.