@Harvy66,
This happened again today and, knowing network utilization was the likely cause, I was able to track it down right away. You definitely put me on the right path. It was as simple as the network being saturated.
Specifically, I had a CrashPlan server on one VLAN and it's data store on another VLAN. When CrashPlan would (deep) compact data, it would saturate my firewall for the duration.
Thank you again for the help.