CashsMom ... My thoughts would be to try one of the iron-on wash-out stabilizers. That way if you are not happy with how it works, you can turn back. Of course, that's only going to work IF the stamped design is a permanent stamp, not a wash out one!
The other option would be to try embroidering it as is, with it as straight and true as you can get it in a hoop. It may work out easier than you think. At least, that leaves you with the option to remove the embroidery if you are not happy. And then try something else.
I do a lot of hand embroidery, but so far have gone against the "new rules" and never used a stabilizer. So, I have no true experience to speak from. But I can totally understand your need in this instance and will look for your updates, to learn from your experience ... and hopefully remember, when I need to do the same!