My yard is naturally surrounded by trees and stuff. There is a flowing creek in the back (behind the dog's fence) with scrub oaks along it and I have several live oaks in the yard and in the front yard. The bees leave the hive and go up high through a hole in the trees above the house, and you better not stand in their flight path or you will get boinked repeatedly.
Watch and see where they leave and return from, it may not be the issue you think. If they do fly low across your neighbor's patio, I thnk a trellis with some vegetation should help. You could also try turning the hive so the entrance points away from the direction you don't want them to go. I think bees as a rule forage away from the hive rather than in the immediate area.
My neighbors haven't complained, they share my enthusiasm and wish they could have hives too, and it helps if you share a jar of honey with them.
Good luck, and have fun!