Forget the steel (unless being stainless is a deal-breaker) and look for a good maker. If he has a reputation for good knives he picked the right steel. Plus, folks here give high marks to markers who "stand behind" their work.
The good news: You don't have to spend half of your budget to get a nice-looking, good-working hunting knife.
The "bad" news: zillions of choices.
Dozier is a good'n (D-2 is nearly "stainless"). Good sheaths as well. I love the two Doziers I have.
Mr. Wilson has available hunting knives listed in the maker's sales forum here. I have one of his ("Semi-Skinner" - also D-2), and it is impressive and came with a nice, heavy sheath.
I have liked my Bark River knives (a Google search for any brand/maker in the advanced search-exact term box shows vendors, many with knives in stock). Bark River sells through dealers like DLT and Knifeworks.
These three build specifically for hunters, as do others who will be mentioned here in due course.
If you get to a short list, come back and ask more questions. No shortage of opinions here.
Seriously, if you see broad support for a maker, you can be pretty sure he does good work.