Yes, I’m in Virginia, the foothills of the Blue Ridge Mountain. Perilla/Shiso has become a weed of concern in many states around here, since it’s super common and toxic to cattle. The weedy form pops up everywhere on the property here, it’s routinely pulled up.
Ironic ewsflash, you want to grow it and can’t; I don’t care for its flavor and it’s everywhere!
Keep the seed in the freezer until early next year. If planted now or later, it will start to flower and go to seed. Unlike basil, giving the plants a severe cut-back usually doesn’t result in lots more foliage.