Actually, that's not the only way to deal with it. I still think I had a good idea originally, about not starting them off with an action point but giving them action points for every fight after that. Thus they can keep going and further fights are made easier by the action points, or they can rest to regain their dailies. I guess, in essence, it means trading in an action point pre-emptively to restore your daily abilities (and healing surges, as the case may be).
Not saying it's perfect as is, but I think the concept has merit and it's just a matter of figuring out what sort of incentive to dangle in front of them which is just lucrative enough to make them want to keep going.