The buyer is in Blacksburg.
As I mentioned, I am not an FFL but I worked in the firearms industry selling, building and repairing guns for 7 years so I have a fair amount of industry knowledge.
I agree it is any dealer's right to only process the transfers that they desire. This whole situation kind of threw me off because the FFL in question uploaded his license to Gunbroker. That means that it is readily available for any buyer to select and the digital copy gets sent directly to the seller. They had no notes on to indicate they had any restrictions. They told me that they needed the gun out of there on Saturday or they were calling the ATF field office to come collect it . . . but the prepaid UPS shipping label that I sent them Friday night says it has not been picked up/dropped off yet.
As this was the buyer's first Gunbroker/online purchase I found another FFL to complete the transfer through. Thanks for all of the input!