As long as the Control Voltage will reliably drop below ~3-Volts there's no problem.
If this is in question, a ~100-Ohm Resistor across the Control Input
should be plenty of "turn-off-insurance".

Three Motor-Wires indicates that only 2-SSRs
will be required for Forward and Reverse operation.
Nice and simple.

A ~20-Amp SSR is now officially over-kill with this new information.
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Thank you all. I appreciate all of the input. I will be ordering some parts and hoping all goes well.