Just some more observations on model airplane prop design that should carry over to the full size aircraft...
The diameter will determine the static thrust, and the Pitch will have to be selected to match the cruise speed. Mathematically, because the diameter squared determines the swept area, any delta increase of diameter will need twice that amount of reduction of pitch. So starting with an 11x7 for the usual model engine, If you want more speed go for a 10x9, or for a better climb ( vertical.?) try a 12x5.
There are snags to going oversquare though ( 9x11 for this example) in that at a standstill or slow taxi speeds, the propeller will be stalled. Some speed freaks, put up with this slow take-off, as it gives them speeds of over 200mph in a dive. Conversely some Fun-Fly pilots use 13x3 props to give prop-hanging performance, with colossal amounts of static thrust. Increase the diameter ad-infinitum and you will end up with a helicopter !