Just my $0.02:
Don't buy an Estwing or similar axe.
They are heavy- For the same weight, you can carry a much larger, wood handled, axe.
Frankly, they are ugly and don't have much class.
Honestly, if you want the best axe on the market, you should get a Gransfors Bruks.
I would suggest going with one of them for the following reasons:
-Beautiful fit and finish. You will not have to do anything to the axe to make it perform
flawlessly. Now, what I mean by this is, you will not have to reprofile the bit, or edge
of the axe, to make it chop like no other.
Unlike the axe in that picture, which has been reprofiled. The reason? The angle of the
axe's grind was too steep, making the edge thicker. Why is this bad? Well, it will not
bite into wood as well, more suited for splitting. So, it makes for a poor performing axe.
Now, normally this would be fine if you knew a little more about axes, but you don't.
You want to buy an axe that you don't have to do anything to. Like a Gransfors Bruks.
Another, still decent, but cheaper alternative is an axe made by Wetterlings or Husquavarna.
Both companies make great axes, but the finish, again, is not on par with Gransfors Bruks.
Again, fine if you want to get the most for your dollar, but why do that if you want
the best and have the cash for the best?
You have other options, custom makers and refurbishing vintage axes, but
I feel you would be happiest with a Gransfors Bruks.
I would suggest going with one of their Small Forest Axes. 19in. handle.
I would not go any smaller, the extra length of the handle allows you to
do some fairly significant chopping and splitting.
In my opinion, a SFA makes for the perfect camp axe.
Just remembered you mentioned the Wetterlings they "polish up".
Not bad, but you are really just paying extra for the fact they
reprofiled the bit and polished the head up.
(Not worth it!)
Also, Gransfors Bruks bought Wetterlings. If that means anything.
By the way, Lee Reeves makes several small axes in your price range.
I have one of his Nessmuk style double-bits. Great little axe.