I guess you could scrape the vine open, apply 2,4D, and let it die before removing it. This would get rid of the foliage, which is the biggest source of rashes. You can get it from the vine, too, but dealing with a dry vine is better than dealing with 4,000 leaves.
You can clean your tools later. I would not use a motorized tool on it, because they are hard to clean.
You can clean your tools later. I would not use a motorized tool on it, because they are hard to clean.