So you're looking for something between a Mora, and a small forest axe, to complete a three blade setup? The small knife role seems pretty well taken care of by the Mora, and with an axe you don't really need a knife for chopping/batoning (I'd think?). What type of use will this knife see? What size of knife are you looking for?
Depending on where/how you backpack, I'd probably (personally of course), think about substituting a folding saw for the axe, and then making this second knife a mid sized knife that could split wood if needed. It would save some weight, and space in the pack. Thats really your decision though.
As a guy who is more into fixed blades than folders, here are some random thoughts for you.
Looking at your requirements, there are quite a few Bark River knives that fit your criteria and price point. They tend to be in A2 and CPM3v. They come with leather sheathes. Then seem to cost ~$180-250 or so from what I can remember, depending on the model.
Survive knives is another company that produces pretty much exactly what you're looking for. They can be harder to find (they seem to be limited in their production numbers atm), but there are usually some on the secondary market.
If you're open to some modifications, you can easily get what you're looking for from many manufacturers.
ESEE and Becker are among the more commonly recommended "outdoors/camp knife" brands. They meet lots of your criteria, but miss on the coating portion. The upside, is you can easily strip off the coating (paint stripper works to get it all off). And because the handle scales are just bolted on, you can change them for anything you'd like. ESEE comes with Micarta, Becker comes with Grivory/zytel. The only other thing you'd "have" to do, is put the 90 degree spine on the knife, and maybe buy a custom sheath (depending on what you find nice/good). And, you'd likely be between $100-200 if you went this direction.
There really are many good manufacturers here in the forums. And at your price point, you can easily afford anything you want, and get the knife just how you want it. At lower price points its a bit less feasible, but for your price its totally doable, and might even be the best choice. I've not actually purchased one from there. But I think that personally, once I start looking at fixed blades > $120-160 ish dollars, I'd rather just get exactly what I want, and would work with one of the builders here. Just my two cents though.
Good luck on the search

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