For just killing time in 5 mans and scenario i rolled a mixed melee group. Tank bounces between a DK and Druid, enh sham, fury war with monk full on fist weaving. Had to buy some crafted PVP gear to get iLevel high enough to use DF.

Cover every buff but spell power. Skull banner + Bloodlust/heroism just melts bosses even in crap gear. Pretty much just zerg the dungeons down no need for any CC at all.

The monk heals are not too bad if you macro it up to take advantage of muscle memory as well as keeping renewing mist up. Drop a jade statue for bosses or large pulls.

If i was to do a hybrid dps/healer i think ele shamans are the way to go with crazy AoE with chain lightning and dropping healing totems on cooldown could make for fast runs.