Strange, I'm a DRG and thus should get the horribad dps queue times, yet when it comes to MS DR I never have to wait more than 20 minutes usually. Granted, I end up running them either at noon or in the evenings, so perhaps I'm simply doing them at opportune times, but still.

As someone else suggested, just try to do something to occupy yourself with while you wait for the queue to pop. It may be annoying having to wait, but eh, queues for anything but tanks seems to be horrible in my experience.