RDM fits your "rotational" and flashy desires well (very debonair job), but is very very popular being one of the new jobs right now.

BRD and MCH would probably be the next closest thing. MCH is the least popular, and I would argue has fewer things to keep track of than BRD, but doesn't have very flashy armor unless you come up with some wacky glams of your own. BRD has some fancy exclusive gearsets, and has probably more RNG than MCH. MCH main combo is proc-based, but its RNG factor is exaggerated by players given the frequency at which you can use ammo, especially in 4.0