Cover-Up Barnes & Noble Nook Simple Touch / Simple Touch with Glowlight Reader Nappa Leather Cover Case (Inversion Stand) - Black
This item exactly fit my needs.  The Nook Simple Touch fits in the case perfectly, and the stand function works great.  Before finding this, I had been looking for a good stand case without success.  I had only located one other option, for which the stand seemed much flimsier.