Thankfully, Dan had a number of lanyards he didn't want that just happened to have swivel clips on the end. So I used those up and then scrounged around for clips that were similar.
Don't ask why I didn't think to check another craft store. I guess it's because JoAnn's, Michael's and A.C. Moore are all spread out here, and I wasn't going to drive from one to the other in search of swivel clips. (Lowe's had them, by the way, but they were too large for my purpose.)
Well, today I found some swivel clips at Michael's. It was perfect timing, too, because I was just finishing a beach bag for myself and I wanted some swivel clips for smaller bags that can be attached to a d-ring inside the large bag.