Good morning @Joseph T. Williams and welcome to Groton.
I got stationed here in 2003 and I've never left. (Sub Nuke) I know the general idea in the Navy is that it's a terrible place, "Rotten Groton" but it's really not. New England has a ton to offer. Sure it's not as nice a SC or almost anywhere on the West coast, but keep an open mind and it'll grow on you.
@Filipe Pereira has some great points about snow removal. If you are buying a large multi and depending on the setup, you may have a commercial dumpster to pay for, or common area cleaning. I will disagree with him on one point though. Since natural gas is only in a few locations in the Groton - New London area, tenants don't really have a negative reaction to the lack of it. Ha! in fact, I have had a few tenants shy away from a unit with gas...scares them I guess. Too many action movies is my guess.
When doing the analysis, I recommend that you don't compare tax rates with other locations, it will give you a false sense of proportion. You will think the taxes are outrageous and may cause panic. Perhaps our taxes are high, but are rents are generally higher as well to compensate. Also, even though you are house hacking, run the numbers like you are not and make sure you add a percentage for property management. Down the road you will want to hire someone and you still want the numbers to work.
A lot of our properties around here ae converted SFHs, so be prepared for that. They are also old so take that into consideration when looking. And when you are looking, look fast. Properties that are priced right are moving in 3 days or less right now with multiple offers. I'm sure you've noticed this as you've been searching for properties.
Let me know if I can be of any help to you locally while you look.
Good luck!
-Dave