Greathorn Stags and Does are in the Emerald Dreamway, which ports non-druids out within 5 seconds. Also, there isn’t a way through normal gameplay for a non-druid to enter. (RaF summon is the only way I know).
Greathorn stags and does could be put in the post-Xavius part of Emerald Nightmare, since both it and the Dreamway are part of the Emerald Dream. Or it might be more fun to have a challenge for hunters to get into the Dreamway. It’s possible for a hunter to just barely reach the portal inside the Dreamgrove (druid class hall). Activate that for hunters, and give them a buff if they make it through it to prevent porting out of the dreamway for 30 seconds (plenty of time to tame).
But adding them to Emerald nightmare (or elsewhere) would be the fast and easy way.