My 2 cents: I have done this with people 40 pounds lighter than me. We couldn't even feel the weight difference thanks for the friction in the system. You could also consider tandem rappel. It's a little more awkward but one person can control the rappel while the other untangles the rope below. If you have odd number of people in the team, you could have the last person lock up the rope. Actually if you have her rappel with a heavy backpack trailing between her legs (not on the back) it'd be very comfortable for her and she wouldn't object.
Curiously though, why do you want to do that? I found it complicated and error prone. It doesn't save whole lot of time if everyone is proficient in rappeling.
Deling