Update: The problem appears to be resolved.
Cleaning the mass air flow sensor and the butterfly up towards the manifold did nothing to cure the issue. A fuel pressure check showed normal. I checked the resistance of the coil and it was also in specs. I jumped the terminals for the engine diagnostics. All I received was code 55, which means the computer was reading "normal."
Regardless of what I did, I could not cure the stalling/hard start issue. As I said before, the car appeared to not be receiving gas. On a hunch, I went back to the fuel pump relay and began to investigate it further. Apparently, when it began to get hot, it would shut down the circuit to the fuel pump and that was what was causing the stall/hard start issue. Once it cooled, it would start again. Since I replaced the relay, a $15.00 part, the car has not stalled or been hard to start since.
Hopefully, my frustrations ... my time and my efforts will save someone else from the same troubles I had. I had previously tested the relay with a multimeter, but the trouble only happened when it was hot. Therefore, testing it cold did not reveal the issue.