Archery and BB gun shooting are restricted to day camps, Cub Scout/Webelos Scout resident camps, council-managed family camping programs, or to council activities where there are properly trained supervisors and all standards for BSA shooting sports are enforced. Archery and BB gun shooting are not to be done at the pack level.
Cub Scouts are not permitted to use any other type of handgun or firearm.
As I stated previously, there is a way for a pack to do it, just turn it into a district event, as stated above is the correct answer as i have just qualified two weeks ago and packs or not permitted to have a BB or archery event out side of a council managed event.