Chris,
There is no drain solenoids in your dishwasher. You may want to check the drain pump (#325 on the
diagram). There is check valve (red flopper) in the outer pump tube which can cause drain stoppage.
The dishwasher has to be removed from the cabinet to access the part.
- The drain pump assembly
Part number: AP3872950 
Here are the breakdown diagrams and
Replacement parts for General Electric GLD4200L15CC Dishwasher | AppliancePartsPros.com
Gene.