What are the different ways to dry the winding of a water-logged pump?
You face two challenges here: silt and moisture.  Silt could gum up brushings (if present) or bearings.

Assuming the pump is full of clean water the usual drying techniques apply:


Disassemble to the greatest degree reasonable.
Rinse with clean water (no need to be shy for a pump).
Use compressed air to blow water out.  A bike pump works in a pinch.
Use a heat gun/hair dryer to accelerate drying.
Place the pump in a desiccant (e.g. bowl of rice works great).
Ensure the pump is very dry before attempting to energize.