Embroidering minky is similar to embroidering fleece or plush towels but has it's own issues. Since it's stretchy you have to be careful hooping it. Since it's a label and the back won't show, I'd use a cut away, securing the minky with 505 spray. Use a wss on top, I use Pellon Sol U Film Lite for topping. A wide font will embroider and look better than a narrow one.
Cari