Hi Darin,
If the flame does reignite every time when the igniter comes on and the new gas valve coils did not fix this problem then very likely the gas valve itself is bad.
- The gas valve
Part number: W10337269
Here are the breakdown diagrams and
Replacement parts for Maytag AGD4370TQ0 29" GAS DRYER | AppliancePartsPros.com
Gene.