Bananas love very high humidity, high heat, lots of water and as much full sun as it can get. I really admire the tenacity of North American growers to nurture them in the 4 season weather we have here.
But I have seen them as they grow in my old home country, really towering backyard plants, at times already taken for granted, but that is how they are. Veterans of our torrential rains there even of floodings. Only the very strong winds of typhoon will truly level them down, but they are quick to rebound once temps go very warm again. Our soil there is loam soil, and it just grows so easily. Temperatures there are in the range of 79F at night and up to 108F with humidity factored in during summertime. So that is how bananas typically like it there. If you can duplicate that a bit, then you can probably grow the plant and yield the fruits it has. Otherwise, you may only get the plant growth, no fruits. Definitely not the cold weather plant, it prefers tropical warm conditions.
I guess if you can find some cold hardy varieties and fleece wrap them in winter, it may survive and resume growth again once warmer conditions return.