This thread might help you with some of your worries.
https://www.backyardchickens.com/t/947046/broody-in-michigan-winter
I never did read that the hen is actually broody. If she is not broody in that tight space she is a threat to the chicks. She could easily kill them instead of keeping...
Bighead, are your temperatures Fahrenheit or Celsius? That could make a big difference. We have people on here from all over the world.
If that is Celsius you could probably manage with a hover with no supplemental heat though I’d be a bit concerned the first few days. A hover is an inverted...