If you’re accustomed to Providence, but, would still like to leave home, the next logical city to look at would be New Haven. Downtown New Haven is roughly equivalent to Thayer Street and Yale pretty much owns everything in sight.
Next, I would compare Wesleyan. Again, it’s another southern New England town/city at the footsteps of a wealthy and prestigious college. Some Wesleyan students are intimidated by the socio-economics of the area, but, for anyone who grew up in Providence it can be navigated pretty easily and there’s a quirky, flavorsome assortment of stores and restaurants to reward your efforts.
Lastly, I would consider Vassar. Probably not as urban as either Brown - or, even Wesleyan. But, there’s a similar laid-back vibe with art majors a little more visible than on the average Ivy campus.