You actually may get it to flower. The Musa run on their own schedule when it comes to blooming. Most of the bananas used commercially (and non-commercially, as in geographically in some countries like Costa Rica, Puerto Rico, Mexico, Philippines, etc for food run on an 18 month cycle. 18 months from the corm sprouting the sucker, the sucker growing to a tree mature enough to bloom, and the fruit to develop enough for harvesting. Since the weather pattern is much more seasonal in the USA and does generally not follow this 'endless summer' pattern of warmth (except in South Florida and maybe some places the most Southern California) growing bananas as a food crop here in the US has always been unreliable and that is why they are imported from banana farms in the tropics. But some people do get bananas here on a regular basis in backyard situations. The rule is, (but there are exceptions re:species) if only the leaves burn off in a frost/freeze but the trunk remains completely viable and doesn;t have to be chopped down to the ground, you will probably get bananas the next season.
But the ornamental banana species can sometimes grow more like annuals. Plants like Musa Velutina, Musa beccari, Musa laterita etc grow and bloom all in one season.
Basjoo is considered an ornamental Musa, just a very big one, because it is not used as food but in the textile industry in Japan. Sometimes even if you have to top it, it will come back and bloom in less than the normal 18 month cycle. So don't give up hope!
