from some quick research, i'm not sure if you're all on the same page with this
from what i can tell, the premise of the show is that these guys run for like a day straight through the wilderness and at the end of the day when they get to their destination, there is a box full of extremely high calorie food waiting for them (presumably the box is reasonably bear proof, which would explain why it is called a bear box).
so either fancy luggage is not what the OP is looking for, or the OP probably shouldn't be looking for a bear box
(if a bear box *is* what the OP is looking for, presumably that means we should be looking at the cost to have a secure package dropped off to remote areas where there is nobody there (yet) to receive them. which probably has a lot of variables)