I would look at Temple Sq Apartments - diff spot in downtown but 10/10 noise insulation for downtown & lots of ppl that work at the hospital live there. Otherwise, new 18 High apartments probably have good insulation? I would say New Haven Towers is also probably fine at night - it's right next to High St, I would just stay in their building on York St (not the Madison one or the others on the opposite side of York). College & Crown building probably also has good insulation - maybe Taft Apartments?

Cambridge Oxford itself has ~ okay ~ noise insulation depending on which apartment you're in/if your bedroom faces the street or not (I used to live in an apartment there & my room was furthest from the street and I couldn't really hear the frat houses)

All that said, unfortunately it seems like the only good noise insulated apartments in downtown are much more expensive lol

anchor spa is very cool. Or Ordinary. Via is very designed to be "trendy" & has lots of interesting cocktails if you're looking for that

Temple Sq Apartments has apartments within your budget that are super nice and has fantastic management. I'm sure they'd at least consider some short term options!

Go Shuttle CT has regular shared shuttles for $65, that's the only shuttle I know of

I have heard of this "Drew" person but the official article that talked about closing refers to a seemingly older woman wanting to retire as the reason for closing all of them. What's the relation between Drew and older woman?

Elm city games!! :) bowtie movie theater

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if you're up for ubering, pez factory in Orange is cute, also Shoreline Trolley museum is great for kids although might be cold/closed in winter? not sure