Lithium polymer can be adequately safe. The charger needs to have a backup system to prevent the safe voltage being exceeded in the event of a component failure, and the battery itself needs to be protected from physical damage, and have a fuse to prevent the effects of a short circuit in the wiring. These two conditions are achievable, for a modest cost and weight penalty.
A laptop-size lithium polymer in a belt pack would give you a fair number of lumens for quite a lot of hours. More than most of us would need, I think. Lighter than the lead-acid battery used by coalminers too.
My personal preference is to have the battery on the belt, and as little weight as possible on the head, but needs and preferences may differ.
Alan