I would try pulling the gasoline cap off the fuel tank immediately after it stalls. If there is vacuum there, you may have found the problem. The tank is vented through the vent line to the charcoal canister and it may have been plugged, or the line squeezed.
It would be interesting to know if the engine restarts immediately after the 10 minutes running stall or will not start for awhile. The ignition module (under the coil pack) can cause similar stalling, but mine had a longer run time to stall, then at least a half hour to cool off for restart.