What would you recommend at the $150ish price range?
Bk5 or Bk7 - more versatility
I like my bk5, it's 8", slicier, and great for brush clearing while still pretty capale of slicing well; but I also prefer not to baton with my knives whenever possible (though I do at times, and it is capable)
I'd recommend for you, seeing as how it reads like you are specifically looking to baton with it, (among other camp chores), a bk7... Still great for batoning, thicker then the 5, closer to the 10 in profile and thickness , with an extra inch and a half in length to work with, makes it a better and more versatile for everything else knife, (chopping, slicing, clearing brush, etc), and in seeing how neither is "the best" option for finer type work due to chunky blades, i'd throw in a cheap lightweight Mora companion HD to excel specifically where the 7 (and 10) will most lack.
Rather then have the one short chunky blade to do it all, which isn't the best slicer, but also lacks in the chop and clearing dept. as well, due to it's shorter design, I would've opted for the longer chunky blade, still not the best slicer, but better for chopping and clearing, and then added a dedicated slicer to the mix on order to better cover all avenues.
And, with that "camp combo", sure the 7 is a few ounces heavier then the 10, but the Mora is significantly lighter, so I would wear the Mora (on the hip) while long trekking, with the 7 strapped atop my pack, still accessible if needed, while distributing the weight evenly on my shoulders, legs, and core, making those ounces much less of a factor, (and the lightweight Mora hardly noticeable). Rather then look to carry the chunky and weighty bk10 on my belt while hiking, causing an unbalanced distribution of weight in the hips, which over a long haul could start causing premature fatigue.
FWIW, despite 2.5" extra inches in length, the bk5 is listed as the same thickness and weight as the 10... It's certainly not as "robust", different grind and profile however make it better suited for every other camp related chore except batoning, but it is still well capable of batoning, provided you keep it back away from the finer tip.