The main factor affecting landing speed is wing loading. If the airplane isn’t too heavy, you just need to make a flatter approach. Try slowing the airplane down at a safe altitude and see how slow it will go before stalling. You will likely see it fly pretty slow but with the nose held a little higher than some other airplanes you have flown. Use that higher nose attitude on approach and fly a flatter approach angle and I believe you will see a much slower approach speed.

As for the dire consequences predicted by drooping the flaps slightly, the net effect will be about the same as if you had built the wing with a cambered (or flat bottom) airfoil. It won’t produce greater tendency to tip stall. That is mostly affected by wing planform and loading. It won’t create a tendency to balloon, and change trim with speed. That is primarily affected by cg position. It will cause inverted flight to be at a more nose up attitude. Moving the cg aft won’t affect approach speed, it will just make the airplane less stable in pitch.

Using a flatter pitch prop is usually appropriate only if you can’t get a low enough idle. It will allow a slightly steeper approach angle but really won’t affect stall speed, which is what actually determines approach speed.

Practice slow nose high glides at altitude until you have a good feel for the normal glide. Learn to trim the airplane in this condition for approach, and I think you will find that the problem will simply go away.