I have a 1979 Lincoln Mark V with a persistent stalling problem. It has a 400 cu. In. (6.6L) V8)?

This car has been driven only 17,000 miles since 1989. It has had (still has) an intermittent stalling problem upon accelerating from a stop at anytime in any weather. It has been worked on by a Lincoln Dealer a few times and by at lest 5 other independent auto repair dealers. In those 17,000 miles the carburetor has been replaced FOUR times! And has been cleaned and adjusted several times. Just about every part in the fuel and ignition system has been replaced from the fuel lines, fuel pump, spark plugs, distributor cap, rotor, set of ignition wires, vacuum unit, and air filter. Some more than once. Some dealers took the shotgun approach and just threw parts at it in hopes of solving the problem. This car was manufactured during one of the first government required exhaust emissions mandates. It has every emissions device known to the industry in 1979 installed along with a detuned engine to pass the emissions control inspections. I want to sell the car but not be nasty and saddle someone else with this problem. Ford Motor company is of no help, I tried. Most Ford or Lincoln dealers no longer employ mechanics that know how to work on cars with carburetors. To the manufacturer and any Ford dealership a 5 year old car is ancient history. This one they consider prehistoric. Any help out there?

Sounds like a bad accelerator pump diaphragm at the bottom of the float chamber. When you press the pedal, extra gas needs to shoot into the carb throat to compensate for the air coming in. You can see this inside the carb throat. Open the choke, look down the throat, and pump the throttle. Gas should squirt into the throat.