Vermont has a system that allows for state-wide school choice for high school grades, so your place of living may not have to be determined by where you want to go to school. I'm not an expert so ... call the Vermont Department of Education and ask them about high school choice. You will also want to check local school district policies of the place you live if it is separate from where you want to attend HS.

So short answer: call VT Dept of ED and ask about public high school choice.