I have completed the project, and decided to use the tea kettle method to get the poly onto the barbs. Of the 8 barb connections, none leaked, and only one gave me trouble during insertion. And that was probably because I didn't leave the poly in the hot water long enough. It was somewhat of a pain running back and forth to the house to reheat the kettle, but it was worth it knowing there isn't a chance I compromised the connections if I had a used a torch.
I'm trying to imagine carrying a pail full of hot water twenty feet down a ladder in the middle of 4 foot well tiles. Nobody and I mean nobody that works extensively with poly uses hot water. For cripe's sakes man, it would take the better part of a month to make up a sprinkler system that way.