Hi Jarrod,
I asked a friend w/ a Grand Prix (nearly the same car) at work today about this issue. He knew immediately what it was and I verified it at noon. The Fuel Pump resistor has gone open. It is bypassed during start and high acceleration conditions but is called in at idle and cruise. Since it is defective (open) in my case, the engine shuts down immediately after a few seconds when the relay calls in the resistor. It's location is a pain (right front wheel well, well buried). I'm cutting the lead and installing a new resistor in a more accessible area.
Many thanks for your attempt!