I live in Bristol,about 20 minutes south of Providence in what is called the east bay area. Narragansett Bay Wheelmen The bike club here has rides every Sunday and often, cafe' rides to Bristol on the East Bay Bike Path. The club is happy to have guests just show up at any ride. Maps are handed out before the rides but rides are so well marked with paint arrows on the road surface, maps are hardly needed. There are no ride leaders so each rider proceeds at their own pace. Every ride has several alternate distances, say for example, 60, 40 and 25 miles, so the people of every ability can find a suitable distance. As the season progresses, rides get longer and several century rides are in the mix but with shorter distances also included. In general, rides toward the northern part of R. I. are hillier and the south is flatter. Ride descriptions in the website will tell you everything you need to know.

I'm asthmatic and slow but I frequently find people riding at my pace and we do ride more or less together. Dues are modest and the club donates substantial funds in the area of cycling advocacy so I feel it is worth supporting on this alone. Hope to see you on a ride.
Bern