Veronica ........
Welcome to ATP.
Did you get your minis from Chill Out Roses ? Just curious. We may be growing several of the same plants.
I heat my home with wood, and even tho' I have a very good fireplace insert, the rooms further away from the source of heat are really quite cold. I could probably use your blanket method in those rooms quite effectively.
During the winter, my garage is just not conveniently located to use to store plants. It's on another level down the slope. I overwintered all of my container roses outside the first few years I lived here, but I am in a warmer zone and the way I did it kept the pots from freezing. Now, they are in the ground and I never even have any die back in this garden, so I don't worry about them.
Again, the cool temps and the lack of light is what makes it work.
Smiles,
Lyn