For the $, I don't think you'll find a better knife. I had the Camillus BK9, along with several others of theirs & they perform very well.
I suppose they're sharp out of the box, but that's not really that big an issue since you can always sharpen it.
As for an Accusharp working, I suppose so. Carbon blade shouldn't be an issue, it might be the width of the V opening to put the blade edge into. I don't have any experience with that particular one, but with others & some have a wide enough V opening, others don't.
If you don't want to use stones or some other system (Like a Sharp-Maker), I'd suggest the sharpeners that are open enough & have a carbide stone to set the edge & a ceramic 2nd one to finish it. That's IF you must use one. However, the 1095 blade steel shouldn't be any problem with that or similar sharpening systems.