I'd advise against it because the beasts have caster stats.
Petopia list for Dragonhawks. What you can do is die in Wetlands/Arathi and just run your ghost the way Dilbrt said or go Wetlands, Arathi, Hillsbrad, Silverpine, Tirisfal Glade, Western Plaguelands, EPL and finally run through the portal to Ghostlands. Then you can rez in Eversong and find one to tame.
The reason this will work is because you pass through a portal alot like an instance to get to the Ghostlands, so the "cheating" way of rezzing at a spirit healer in Eversong will work unless Blizz nerfed it.
I did the same thing when getting my
Lynx right after completing the hunter quests.