The Buck Vanguards are made with 420HC alloy. This alloy is much easier to sharpen than ATS-34, but also does not stay sharp as long. The Vanguard design, handle shape and blade shape, is really excellent. I would rather have the Vanguard made from 420HC than most other knives regardless of alloy.
The Browning knives are not really made of 440C (their marketing department got a little carried away a couple years ago). A lot of their promotional materials, and references at online websites, have not caught up to their current acknowledgements that they use AUS-8 alloy. They've made some explanations that they think of AUS-8 and 440C has relatively equivalent, and just called AUS-8 "440C" because the public would find 440C more recognizable. Be that as it may, Browning makes some very nice hunting knives. They make designs that are optimised for gutting and cleaning game. The AUS-8 alloy takes a razor edge that does a very nice job of cutting elastic tissues.
A couple other knives that you might consider: On AG Russell's website there is a nice Deer Hunter model made of ATS-34. I also think that Cold Steel's Master Hunter with Carbon V alloy is well designed.