Hmm, have you considered a bad battery or alternator?
After you let the car sit for a while, the battery usually gets a little charge back, but not enough for any real work. Have you experienced any other electrical crap going on... ie, lights dimmed, radio turning off?
When the car stalled and you tried to start it again, was there a clicking sound?
Welcome to the forum... and umm, what's up with your name?