I think what PK meant was perhaps you could get something like bighorn sheep. They're definitely not farm animals. I doubt that they breed as fast as hogs (what does besides maybe rabbits?), but they can survive in tough environments, and they're not so easy to hunt. The heads / horns of the rams make good trophies.

Just Google "Bighorn Sheep" and check out the pictures that show up.

Have you considered Bison? They are far from timid animals and they are much better eating than Beef. I think they'd be perfect for you as long as you have land for them to graze on. I do believe there is a woodland variety too though. They also command excellent prices for hunts. Bighorn Sheep would be good too if you are in a mountainess rocky area.

Aoudad or barbary sheep, corsican ram and several other goat/sheep species do well in various terrain and most breed pretty quick. Most big game ranches offer at least one of these species and they provide good sport.

Good Luck,
Podunk

Good Lord!

If you've got your mind set on hogs, then look for the purest Eurasian boars you can find. They aren't as prolific as feral hogs, and the boars will look impressive.

Ask questions about the bloodline of any broodstock you are interested in. There are a lot of folks who think any long bristled, long snouted boar is a "Russian" boar (aka Eurasian boar). Eurasian boars and feral hogs are not the same.

If you stock your place with boars or hogs, know this. They will get out. An electric fence set 20-30cm above the ground will deter them, but it will not be absolutely pig proof.

If you manage your boars to trophy size, you'll need a well constructed bullet that can really penetrate. Or, you can go in with dog & knife and really have an extreme experience.