Thanks for the all the help everybody. Haven't had a chance to do anything this evening, but I am definitely going to try the jumper cable trick.
It is really weird to me that if I went out to the garage right now, it would crank just fine. After running for a minute or so, it will not turn it over again. It is running extremely rich right now. Think there is any chance that it is hydraulically locking? I can't be a heat soak problem, because the motor isn't even remotely warm when this happens.