Unfortunately no, it doesn't work that way. Picking a propeller from scratch, which is what we would have to do here, is done based on math. I have prop calculation software that I use. The software factors in a bunch of parameters and spits out out a perfect prop size. It is not foolproof however. There are 3 ways I can do it.
1. I can do it by boat style and length - The calculator is 75% accurate
2. I can do it by boat style and weight - The calculator is 85% accurate
3. If I know the full throttle RPMS, speed, and current prop size - The calculator is 95% accurate.
But other than that, there is no such thing a s a factory reccomended prop. Weight along makes a difference in prop size. For example, when this boat was bought new at the dealer. If you told the dealer the most people the boat would ever have on it would be 4, the dealer would choose 1 size. If you told the dealer you would usually have 8 people on it at a time, it would be a difference size.
Does that all make sense? What size/length is the boat. I can get give you a rough idea of what size it should have on it.