Found this trail on a post located here on great hikes in Rhode Island:
This is a moderate hike through the Arcadia Wildlife Management Area. For full instructions of the hike see the above link. It covers several different trails and requires some attention to blazes and instructions. Start the hike at Frosty Hollow Pond Fishing Area parking lot in Exeter:
Leave 3-4 hours for this hike as you will want to explore some of the abandoned camps along the way.