Er, the problem isn't "lack of live person", the problem is, there's too many callers per person available to answer. Thus creating queues.
_
Have a pen and paper with you to the phone and draw/write whatever comes to mind. Draw or Write without thought if nothing does. (You wanna do this anyway in case you need to write something they tell you down.)
Alternatively, learn to lay solitare, and do that while you wait.
Have the phone near the TV so you can watch while you wait. (Just not too loud or you might miss it when the person on the phone answers.
Knit.
I do not suggest eating cause you know they'll answer when your mouth's as full as it's gonna get.