I think you'll find the quality of public schools directly linked to the average income of town residents. I think this is probably true of the US in general, not just MA or RI.
So, look for the dough and you'll find the schools. Income stats for towns are readily found on the internet.
Of course, a lot of people take the approach of buying a less expensive house in a good but less affluent place and then paying for private school. That way, you can really pick and choose the right school.
Little Compton is lovely & the elementary school is fine- believe they bus to Portsmouth for middle & upper. Your house budget of 750 would be somewhat low for LC and there is a 4% ( I believe) tax on all house purchases which goes to land conservancy--- which is why the area stays so exclusive. property taxes are extremely low there however, but it is all septic & well water so you don't get "city" services.
Padanarum is great as far as it goes, but it's hemmed in by mall and strip shopping and abuts New Bedford, a depressed town like FR.
I think Marion or Barrington is probably your best bet.
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