Check the float and switch assembly(front left corner of tub assembly. Raise and lower float and listen for click noise. no click indicates a jammed float or bad water level switch, switch must close in order for timer to start motor in wash cycle.

You may have a damaged timer contact, due to the storms, but I would not make that the first thing to check.

You stated that you can drain(purge) the water indicating that the pump motor assembly is the least likeliest problem, at this point.

Yes, the float is the round piece in the left front corner of the tub, and apparently working since you could hear the switch click.

Do you have a multi meter ?
At this point you will need to circuit check the float switch and fill valve solenoid circuits with a meter,and visually check the wires for damage, then consider the timer.

Make sure you shut off power to the dishwasher before you remove access panels, and start testing circuits.

Hope this helps you