I think it comes down to Horde vs Alliance (Are adults even allowed to play alliance still?) and what exactly you mean by dungeon grinding.
I'd start with one of these caster groups for simplicity and efficiency:
4 mages / 1 priest
3 mages / 1 warrior / 1 priest (if Horde)
3 mages / 1 paladin / 1 priest (if Alliance)
Orb farming Strat-Live and/or DM:E jump runs seems to be the most profitable per hour type of runs and arguably is optimal with 4 mages / 1 Priest. If you really want to farm dungeon bosses its arguably easier with a tank (less chance of random mage death), but a little more complicated to control and perhaps not actually as efficient in terms of minutes per run.
Classic doesn't have Pallies in the Horde or Shaman in the Alliance, so if you're doing a melee group, that's better suited to Horde. Horde can start RFC earlier than Alliance can start Deadmines. Horde also get the Gorshak farming from 54-58 that Alliance don't.
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