You can use most of the common tropical fruit trees for this purpose.
Just don't get a dwarf varieties.
Mango, Jackfruit, and avocado should all be pretty easy.
I would consider mammea americana or starapple, they are pretty trees and the fruit don't make a huge mess.
I'm doing the same in front of my western-facing windows, I try to keep the canopy level with my roof, I don't let the branches hang over though.