Surely this is a Lamiaceae. The rugose leaves look like mint but had no smell. The flowers in spikes look a little like thyme, with a decorative persistent calyx. The stems and peduncle are purple. All parts are hairy in the photos, but that wasn't particularly noticeable when I was looking at them. These are almost completely finished blooming, with just a few flowers remaining at the tops of some inflorescences. The closest I have finally found is Agastache rugosa. Am I close?