The thing that makes a snare good for ghost notes is sensitivity at low volume. This is going to be mostly determined by the shape of the snare beds, the shape of the snare-side bearing edge, the choice of snare-side head/tuning, and the choice of snare wires. The last two are totally up to you; the first two are the choice of the drum manufacturer. A big drum company typically cuts all their snare beds and edges the same, even on different models, so a visit to a drum retail store can give you a lot of information. Tap lightly on a display drum, at various places on the batter head, with a stick or with your finger tips. If it sounds like a snare drum -- if you can hear the wires cleanly in the sound -- that's a manufacturer to consider on your list. If it sounds like a tom -- if the tapping doesn't activate the vibration of the wires -- it's possible that the problem is in the beds and edges, and tuning for sensitivity will be a challenge.
These are things that a custom builder can design especially for the way you want to use the drum, but at your price point I don't know of any to recommend, so stick with the big companies.