The prop will produce out of plane forces if it is operating at an angle of attack. Angle of attack can come from tilting the drive, tilting the whole platform, or induced flows from something forward of the prop. It is probably very difficult to operate the boat without any angle of attack on the lower unit over the whole speed range, so you need a propeller that minimizes the out of plane forces such that this effect is smaller. Rake and cup both have a significant effect on the out of plane force, but your prop does not appear to have any significant rake (can't really tell about cup). Another factor is hub length and shape, at least at higher speeds. At this low speed those are probably secondary to the blade forces, but your hub has a flare at the aft end which was intended to increase lift as speed increases. Maybe this feature could be eliminated? I don't think adding a fairing to the hub would have a significant effect, but I have never really looked into that.
The out of plane force will also increase as the RPM increases. That seems to be the problem. I wonder about going to a higher pitch prop and slowing down the RPM for a given speed. The electric motor has a very different torque characteristic than the gas engine did, so there should not be an issue making a fairly significant change. There are actually many choices in outboard props since the range of performance of the boats that these engines go on vary so widely, so perhaps there are some available props that would fit the need.