Az, youu need to determine if list is caused by weight or by drivetrain.
You should start by determining if list is present with the boat sitting dockside, engine off. Try to get a head-on view from a distance and see if it is leaning to one side or the other. Next, do this check again, only this time have a large friend in the boat. Have him stand all the way to port, then all the way to starboard side. Does the boat lean the same amount on each side?
You mention that the list is under power. Is the list bigger when more power is applied? What about when you are getting a heavy list under power, then suddenly reduce power, does the list go away?
When underway and listing, try trimming your drive out and see if list is reduced as drive goes up.
2006 Bayliner BR205
A1 Gen 2 1.47
5.0 carb engine