Hahahaha, you mentioned a lot of different options how to not annoy others to much. The moving option I like the most, but is also the most impacting one hahahaha Thinking of it, maybe you can agree on a deal with house owners who want to get people who rent their house out, you become their neighbour. This works best with houses where the owners rent out several apartment and preferable the owners having one of the apartment as well. Then it is just a matter for the owners to move out of their app for a while and you can do your thing with the sax :)
Some neighbours like the sound of a sax, and some hate it; I used to go down under the motorway, but even then people heard me from far away and would come and see where the sound was coming from...
The sax is loud indeed :)