So HK4113 this means that the current shooting restriction triggers PC25850 (no loading) and PC 26350 (no unloaded open carry), and PC25400 prohibits concealed carry. So you are left with only LUCC, in other words, your handgun must be unloaded and in a fully enclosed locked case.
While you are in your campsite, you may UOC, LOC, or LCC.
Now that closure appears to exempt hunters, but I would stay away from that because I also believe the lead ammo ban effects LPNF. (I'm not positive because LPNF is in SoCal and I don't go there.)