same problem here....want to try switching one battery to starboard side....

Thats all it takes. Swap cables and go to a LH Prop. Engine torque will keep it level.

I always run neutral tab, no matter what. Running them all the way up can make your boat porpoise and the neutral tab extends your running surface a little bit. Mine are usually dead neutral with a slight adjustment for any wind or ballast.

Completely normal on a single engine vee. Either shift your weight, drop tabs, or just speed up. It used to agravate me, but now it is second nature to correct and its just the nature of the beast.