Oh, best wishes @Dutchess_III. What a difficult time, but I’m happy you’re making plans and thinking of the possibilities.
I think most bread machines have a quick bread setting, but I still imagine you will need to mix the ingredients by hand, unless I’m quite wrong about what they can do. The knead setting probably wouldn’t work well on a batter, and if it did manage to mix the ingredients, it would probably over mix, resulting in a tough cake.
If it’s an option for your needs or the facility, you might consider a countertop convection oven, as a more versatile tool.
Don’t worry about a bread box with banana bread ;) something airtight is actually better, but still avoid the fridge if you can.