The Becker and ESEE knives have attractive shapes, but they're 1095. While I personally like this steel, it rusts easily and the unfortunate consequence is the blades get painted or powder coated. In my opinion, this lowers the value below what I would want to give as a gift. A person willing to make the commitment to carbon steel doesn't want it painted. It can be removed, but I would prefer to give a gift that is ready to be presented. A person not willing to care for unpainted carbon steel is better off with stainless.
The Sandvik steel blades would be a good choice. Falkniven's F1 is the most popular general purpose shape, but the H1 may be better for skinning and dressing game. The S1 and A1 are bigger which make them my personal preference. The Morakniv are also excellent, but probably too far below your target value. Instead, consider a Helle Puukko.
440C is another good choice for a stainless general purpose knife. Boker makes some Integral hunters at the higher end of your target value, but has more choices from their Arbolito subsidiary that are outstanding values. The Arbolito stag hunter in N695 fits the bill, as does the more contemporary-looking Buffalo Soul series. The Relincho and Venador are also beautiful.