Are there any publicly accessible lockers or left luggage facilities in Burlington VT where I could leave a bag while exploring the town on foot?
Seems like there could be something at the University of Vermont, but I can't find info.
The University Of Vermont only provides such facilities for students.
You could try to get a hotel to take the luggage for a few hours for a small charge when you get there, as they have luggage stores. Otherwise, I am not aware of any facilities that could help with what you are looking for.