My Scribe, a level 75 Hunter, started yesterday with little (like 100 or so) experience into his rise to level 76.
As of this afternoon, he has over one million experience out of 1,600,000 necessary to level.
I decided to see how far I could get without actively attacking any mobs.
My toon is allowed to defend himself if attacked, but I must first go out of my way to avoid any conflict.
besides, since herbalism gives me a steady 4200 exp per pick, and mobs only give me 1800-2000 (including resting bonus), the choice is obvious: herbalism wins out. Its far easier, costs less in repairs, and is surprisingly fast. The average quest at my level gives around 18,000 - 20,000 exp. The time to DO any of those quests,is considerably longer than picking the 5 or so plants I need to get the same experience.
I have been doing a regular circuit around Sholazar Basin (where I cannot accept any quests anyway, since they seem to start at level 76), and my bags are regularly full. A good thing for a Scribe

EDIT:
And to give you an idea of just how fast it goes, since writing this post, it has been around a half hour, and in that time I got another 200,000 exp.
I do NOT have an epic flyer. This is on a regular flying mount.
And once I hit 76... Pitch, you are MINE!!!! MOUHAHAHAHAHAHAHAHAHA