I reread you post and I'm almost certain it is your fuel relay. The stall happens because there are little electomagnets mounted to the circuit board of the relay. These are relatively heavy components of the board and because of ther weight, cracks form where the pins of the magnets are soldered to the boards circuit. The change of motion of the car and weight of the magnet coils causes the cracks to open and to lose contact with the boards circuit, thus shutting down the fuel supply.
You can easily repair the relay with a few drops of solder. Pull the relay... open it up (case separates at the bottom edge... then using a magnifying glass look for circular cracks (around the pin being examined) in the solder beads of the circuit board (back side of board). One to three of the beads may have cracks around the pins that stick through to the back of the board. To repair simply remelt old solder around the pin and drop a dash of new solder on the pin.
Use thin wire flux core solder. You can buy it at home Depot or Lowes in the plumbing department for a few dollars. Electric soldering iron can be purchased in tool section of store for about $6.00.
Presto! You saved yourself a small fortune.
