I'm in Burlington and you would be a-ok. I've got 2 kids at the public HS in Burlington and the kids and parents are whatever they are and it's just fine. Ive seen a number of gay couples at school events. The head of the Burlington School District (I think? Someone high up in the system) sent a lovely email about transgender rights the other day and they've had these education/listening events around lgbtq issues. So it's not just "nobody cares do whatever" they make a real effort to be inclusive and kind and that extends to the kids.