My suggested five-man team:

Prot Pally
Ele Shaman
Destro Warlock
Surv Hunter
Disc Priest

Lots of flexibility. As for controlling multiple classes, you will need to spend a bit of time with ISBoxer and understand Virtual Combat keys (so different keys are pressed based on the class of the character).

Just being honest, if you aren't willing to spend a few hours getting ISBoxer configured, you probably shouldn't be considering heroics. Not meaning to sound harsh, but anything worthwhile in life takes at least some effort.