Great advice, thanks!
And the saga appears to have a happy ending. I took it down to our local shop, and had the tech check to system for leaks. The guy has been working on my family's cars for several years, and has always treated us well. He used the dye stuff, and did a vacuum check, and an hour later he comes and tells me "you don't have any leaks. What's more, I put in the refrigerant, and the car has been running for 20 minutes with the A/C working perfectly". I was stunned! He told me that when I tried to use to self-charging can, sometimes they don't have enough pressure to fully charge the system. But more than likely it was due to the cap not sealing on the low pressure port properly, and the can simply bled dry. As I recall, the pressure gauge never did creep up above about 10 psi. He also said that both my compressor and condenser were both fine. He told me to drive it for the weekend to be sure, and if it continued to have any problems, bring it back. So as I drove home, I ran the A/C, and no problems whatsoever. If it needed recharging, he said it would be a total of about $60.
By the way, I think he took pity on me when I told him what I went through to get to this point, since he didn't charge me for the test. So now it appears that my A/C is fine. Total cost to me: $0.