I know the jetBlue will give discounts for large organizations that use tremendous amounts of airfare: for instance, all the UVM Sports Teams fly on jetBlue to competitions that are far away. jetBlue offers group discounts to the school, in return for some advertising around campus, at games, etc. I'd look into seeing if you could get any discounted fares through a system like CompanyBlue, though I'm not sure you book enough airfare to need something like that.

I would have to agree that jetBlue is one of the best ways to get between BTV and LA, I'm flying that route (into LGB) in October. I wasn't able to find another airline that would only require one connection, at least for a decent price.