I have ended up (unintentionally) with a very small hive -- essentially a "nuc" -- that I'd like to figure out how to get through winter, if possible. In particular, I'd welcome advice on how to feed it through the winter. I've read that some people feed dry white sugar on top of the inner cover. Is that adequate? Does it need to be replenished periodically through the winter?
Background/context: I am a newbie who just started beekeeping this past spring here in Peterborough, NH. I have two regular hives that I believe are strong and have enough honey to get through the winter. The mini-colony that I'm concerned about consists of a queen and workers occupying about 5 frames in a 10-frame medium hive box. They have stored some honey and pollen, but not nearly enough to make it through the winter. I did have a plan to provide food for them -- a neighbor was going to bring a full deep hive box of capped honey to put on top of the colony -- but that source fell through (the capped honey turned out to have been mostly eaten while in storage).
So, now I'm left wondering whether this mini-colony can survive the winter or not. To help keep it warm, I can move it inside a hoop house or inside a garage workshop area. So, I assume the main problem is lack of food. Any advice would be welcomed.