Jlbpa, friend, you are over-complicating the whole danged thing.
A sharpened butter knife, an unhafted piece of broken rock, or shattered glass will handily gut, skin, and butcher every animal that has lived in North America for the last 20,000 years.
A Helle Polar will easily accomplish what you say you need to do.
It has a flat ground edge, not a hollow ground, so it is impossible not to be able to get it very sharp, very easily, unless you are trying to sharpen the handle.
If you get to the point where you are cutting up animals over 400 lbs, you might want to turn to a blade about 5 inches long, at least for a few parts of the process.
The whole cutting-'em-up-thing has much less to do with what tool you use (unless you use a crescent wrench or a hammer) than with the knowledge of how to do it. Just keep gaining experience and you will be taking finger-nail files to 'em.
That said, it is fun disputing whether A2 steel is better than VG-10 etc., or whether the steel is unimportant compared to the heat treating process, or a hundred other things, and spending ridiculous amounts of money on fancy knives is certainly a source of great happiness.
But for doing the 3 tasks you mention, any 2 blade broadhead works fine, takes about the same time, and is more interesting.