Hey there! I lived in RI for a summer and went to Sox games all the time. I also do a lot of New England travel for folks.
Fenway isn't really that close to the rest of the sights I imagine you'll want to see when not at the games.
The green line (I believe) has a stop right next to Fenway, which is what I always did. Super convenient!
If I were you I'd stay in Back Bay, Beacon Hill or North End. You'll be closer to the restaurants and other highlights the city has to offer.
Happy to answer other questions or help find a place. Best of luck!
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