I think you'll get some results.
Do you have a weedwacker? I didn't do this, but some workers who were being "supervised" by my husband took a weedwacker to the pachysandra that had grown into a path. This turned it into some "nubs."
After you do that, you could put large sheets of cardboard over it and then mulch it.
If you need mulch, tell some neighbors. They might be happy to dump some grass clippings on top of the cardboard. Also, if you see some neighborhood landscapers working on a neighbor's property, you might ask them if they want to dump some clippings on your area.
The advantage to this method is that if you keep mulching it, in a year or so you'll have incredibly rich soil. Then you can grow whatever you want in there. I did it once on an area of lawn and I then planted cleome (spider flower) in there and I had one spider flower with a three-inch thick stem!
I really hate to see you do this, though, as pachysandra pulls in a nice price at the garden centers. Someone out there would definitely benefit from the starts. And it is a terrific, low-maintenance ground cover that adds interest to the landscape.
I wouldn't do plastic because if you don't get it up before it breaks into little pieces, you'll have an even bigger mess on your hands.
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Cher
p.s. what about a sign at the curb: "Free Pachysandra" and your phone number or email address? With this method, neighbors might pass it along through their network.