UPDATE:

I took my car into the Chrysler dealer yesterday and dropped it off. They called me this morning and said that the bushings for the rear control arm had dry rotted and were completely gone, and that's what was causing the popping noise. The guy at Chrysler said all of the rear suspension's bushings needed to be replaced at a cost of $780! So for you guys who have a popping noise in your suspension, go get it checked out!