The short answer is no. Rhode Island doesn't really have a huge gym market and doesn't have too many chains overall (but a few lower cost chain gyms tbf). They do have class pass options in some of the boutique places.

I mostly know Providence and Providence has a large swath of the population who work/go to/are alumni of Brown. It's the best gym in the city, by far, though probably not with the hours you want or maybe not available to you as a non alumni (their rules have ebbed and flowed over the years). People pay out the nose to have those amenities in their fees, so it just doesn't make sense to have a "luxury" competitor when you have a college town.