hello, I live in Kentucky, so we are pretty much in the same area.
If you have the room inside and your banana is showing signs of new growth after the frost damage, then by all means keep it alive, in a sunny location of course. Water when needed, use fertilizer very lightly while growing indoors.
Depending on size of plant, determines the size of your corm or rhizome. Small plants will have much less corm to feed off of, thus, if you can keep small plants alive indoors then its better than making them go dormant.

If you have a large well established banana at least a year old, then your chances of survival are greater when you let them go dormant for the winter indoors.
To store inside, cut pstem down below leaf level, cover with cloth, in a dark cool room. No need to water,feed during this time.
Once spring arrives, and the threat of frosty weather leaves, then place outside, water and feed the banana to start growth again.

Now if you decide to keep them alive indoors, and your damaged bananas look awful from the frost, you can cut off the leaves and stem below the damage, and the plant should take off again. If you are growing indoors, then the process will be a little slower. If kept in a warm, sunny area, watered and feed, the plant will recover from area cut and start regrowth. This process is only if you want to keep them alive indoors, and you do not want the long stem with one leaf sticking out the top.
You will loose height, however your new growth will look nicer. Or, you can cut the damaged leaves off, and let the plant continue to grow from that point with the one leaf at the top. Your choice.
I hope I didnt sound to confusing.