RE: prop diameter vs pitch
I fly a high wing, high drag 900 sq in trainer (Sig LT-40) powered with a Thunder Tiger .46 Pro. It seem totally happy turning an 11x5 APC although the 11x6 is generally the recommended prop for this motor (assuming a sleeker model). I like having the thrust to quickly get out of a poor situation. Top end speed is generally something you don't need with a trainer type model.
I generally turn nearly 13,000 RPMs on the ground with 15% fuel on the 11x5.