We can burn in NH in the winter as long as there is snow on the ground.
I typically have two brush piles on my property. One in the woods on the north side. Another on the edge of the woods on the south side.
I have 12 acres. So, I am cutting trees down every year. They break, die, blow down, etc. So, I cut the trees down/up and pile the branches on the closest brush pile. Burn it once there is at least a couple inches of snow on the ground.
You need a couple of goats.................