I mentioned the frequency thing before but generally that's going to happen at a given RPM. That is to say it will get excited at a specific frequency but would go away once you go above or below that. When you hit that frequency things will go through the excitement but as you ramp up, it should fade. Even then, I never heard of a good motor prop combo shaking the boat and making that kind of noise you describe.
It's like tuning my bass. As I get close, you can hear the frequency of the "wha-wha" increase or decrease as you stray from tune as com paired to another string playing the same note. At work, we use a shaker table to generate various frequencies, our stuff really dances at 30hz but at 50 it is like a rock. Everything has a natural frequency.
Maybe try removing the mount? It's too bad he won't mount that other one he's working on to see what happens if it's the same model.