To merge the above ideas:
Have something like amenity=food_cache or amenity=food_storage (Technically it’s all scented items, not just food - which would include toothpaste, chapstick, etc).
Many places have strict limits on how long you can store food in them (24h in wilderness unless you are staying overnight in the same spot, generally a few weeks in front country trailheads but food must have your name and exit date etc) so it’s a very short term cache.
food_cache=bear_box|bear_wire|bear_pole|rodent_mesh etc
I think having bear in there makes sense, as protecting your food from bears can be different than rodents (a hard sided container vs “chain mail” mesh), but probably as a second level item denoting the type of food cache.
“I didn’t know if Bear Shield meant shields that bears used to protect themselves, or shields people used to protect themselves against bears, or were the shields themselves made out of bears?”
There There
by Tommy Orange