My first diagnosis would be a fuel pump, from the symptoms you're describing. Best way is to check for power at the connector from the body to the pump. If you have power there, the pump is bad.
I'm not sure where you're located, but I'm a tech in St Cloud and have no problem driving to help a fellow Bonne owner.
EDIT: Also, if you end up replacing your fuel pump, replace your fuel filter at the same time! 99% of the time, a fuel pump has failed as a direct cause of not replacing your fuel filter and letting it get too clogged. Anybody with a fullsize Chevy truck or S10/Blazer knows this all too well.
'94 Bonneville SLE | 266K miles
CAI - K&N cone filter - polished intake runners - 140 amp alternator - 2.5" exhaust - Magnaflow hi-flow cat - Magnaflow dual outlet muffler - 106K on engine and transmission - Sold 1/14/07
94 VW Jetta - 151K - 2.0 - 5 speed - Ghetto black steelie wheel mod - Techtonics 2.25" cat-back system