Maybe your fuel vent is clogged. The 10-15 min wait is the clue.
Next time try removing the gas cap. This will relieve the pressure and it should start right up. If this works leave the cap loose until you can clear the clog.

If it stalls when moving do not turn the key off and you will be able to steer off of the road. It will not be as easy as with the motor running. Also your brakes will be harder without vacuum to the booster. Be careful!!