It sounds like you want to take just one knife, is this correct? I understand the BK2 could be the only knife needed, but the strap issue.
Seems like adding an Izula to your strap, and tossing the BK2 into the pack would let you keep the bigger knife while out there.
I still will mention that something like the Bark River Bravo 1 is a medium sized knife, that's got cutouts in the tang. The Bravo 1 is suprisingly light. Add a leather sheath, so the Kydex can ride on the pack, put the knife on your belt when camping. Well, that's the way I think.