Here's what the back end (the sawn-thru portion) of the hive looked like:
To transport I decided to just staple some cardboard onto the two exposed areas, because the saw cuts were pretty smooth. I then plugged the front entrance with some comb I pulled from the cut limb that just had comb, but no more bees. Here's what it looked like when I put it in my truck:
Once I got home, I slid the limb into my John Deere Gator bed, transported it to a temporary stand, and slid it onto that. Then, I just used my hive tool to pop the wax plug. Interestingly, during the 20-mile drive home a number of bees had found their way past the cardboard, and were clustered on the outside of the limb (that protruding part that wasn't sawn through) like a mini-swarm.
I did not charge for this pick-up, but ordinarily here in SoCal it would be about $100--- half for travel time, half for the pick-up. But these were nice folks who were concerned about the bees and trying to do the right thing, and I just didn't feel right charging them.
Next challenge: figuring out how to move these girls out of the limb and into a hive box. Gonna take some creative thinking...