What you want to do has been made in an HVAC type of installation where 44 (or was it 42?) single-phase motors were connected to one VFD. The VFD was set to output 230 V and the motors were connected phase-phase distributed between all three phases. Seems to work for that particular installation where speed ratio wasn't more than about 1:3.
The problem with the capacitor is that it becomes less and less optimal when leaving design frequency. But, on the other hand, it doesn't need to be optimal when speed and torque goes down, which is valid for a fan. Not sure about your pump. But, if torque is speed squared, it will probably work.
But, again, as Jeff says, do not expect to start at zero speed. You will probably need to start at, or near, nominal frequency. If that is a no-no, then you are probably stuck with a three-phase motor and a mechanical job.
Gunnar Englund
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100 % recycled posting: Electrons, ideas, finger-tips have been used over and over again...