I got a pretty good amount of seafoam into... wherever it went... through the vacuum line. Probably 3/4 of a bottle. I put the rest of the bottle into the main line until it wouldn't take anymore, and opening the bowl drains shows that there is some in there.
I guess my question is if I can just drain the bowls now, hook up the gas tank, and fire it right up? I already tried that and didn't get anywhere (won't really turn over even), which made me think that the seafoam had gotten somewhere I couldn't drain off, keeping the fuel from getting to the spark plugs.
PS - The bike ran before I did this, just had to keep the choke all the way open and any throttle would kill it.