A rogue can hide anywhere in the zone. Just be somewhere where you know no one will come across you.

Then just alt-tab and watch some Thomas episodes / movies.

You can't really get away with straight AFK long term. You can get GINA to tell you when you get tells -- so for shaman // enchanter its easy to afk for long periods of time if you come back when you get buff tells.

Druid is probably the best bet, because they have no hard roll and they are asked for buffs the least.

it was 100% wizard until damn TL was put in...now its CONSTANTLY "hey danceparty, can you TL me please" or "TL BOX NOW" ...so hard to afk/netflix on a raid with that shit going on. i suggest roll a shaman and stay at lvl 59...no focus, no torpor, no problem. you'll be left alone indefinitely.