I made this video as I wanted to allow a brother of mine to help me diagnose the problem I was having. It ended up being a microscopic crack in the distributor cap. I was able to troubleshoot this by spraying the distributor cap with a spray bottle filled with water. The vehicle died instantly and I was able to see an electric discharge from the crack in the distributor cap. I replaced the cap with a new one and voila, the Odyssey was back up and running.
If you're having the same problem and you can associate its accordance with wet weather, start here.
1998 Honda Odyssey Starting And Stalling Issues