I always leave fruit on as long as I can, and pick them off a few at a time as your suggesting. I know people disagree on this, but I find it tastes better. I also don't need 20 pounds of fruit ripening all at once. Now, because the plant is ripening early because of winter damage, your fruit might not taste as good as it would have had it had more time. But your not going to hurt it. Bottom line: sounds perfectly fine to me.

I was always told to cut the whole stalk or it wouldn't ripen properly, but none of my neighbors ever do it that, just pick what they want now, and their bananas are just fine.

Most of the time i will just cut off a hand or two and leave the rest.the top gets ripe first anyway. My father always yells at me for doing that but works for me

I cut the two that were ripening, and one green one I had to cut to get to them. I'll let them ripen completely and see what happens.

How r your bananas doing