And then it came to me. We had another iron in the house. And I knew exactly where it was. Only this iron isn't usually used for anything remotely like this. It was my step-daughter's flat iron for her hair. I said to myself, "It gets hot...just like a clothes iron." And do you know what? It worked GREAT!
I just kept moving it and squeezing until each little petal was fused tight to the jeans. Ingenious! In fact, I think it worked even better than the times I've had to iron on patches for my kids clothes using a regular iron. I don't think I'll tell her that I found another use for her flat iron. We'll just keep this our little secret.