Did you ever complete this char? Like the idea. Where a monk robe (no armor of course), wander the warzones randomly healing fellows....
I did something like this for a while in Doom. Never tried it in a PvP environment but would recommend two things:
1. Wear armor, and toss a monk's robe over it. You're not any help to anyone if they spend more time rezzing you then you spend healing them!
2. Create a guild with a clear name and title. That way folks can see you are willing to heal/rez anyone. After you show your face a few times, the regulars will know you, help you and... when they are dead... come to you for a rez. While I was hanging out in Doom, folks would even give me loot. I didn't do it for a reward, but it was nice when someone came up and handed me a goodie!
A Stealth Mage could be a good start for this type of character.
As for all the vet/tamer stuff... I think being able to rez pets would be a good skill but most tamers are very focused on healing their own pets so I'm not sure if you need to worry about that. Perhaps, best idea is to keep the tamer alive... then they can keep their pet alive... ya dig?
If you're really serious about doing this and you're on the Atlantic Shard, I have a 120 Heal scroll I will give to you. PM me.
Safe Travels, Sam