Cool caps!
What kind of capper did you order Jay?
As much as I hate to suggest it the cheap hammer style might work pretty well for your use case (I so very much dislike those cappers as they just don't work at all for bottles - at least not unless you loove broken bottles). In fact I think you might do as well or better than most commercial cappers (I have ?4? 5 maybe depending on how you count?) with a piece of pipe and file the insides to a small bevel with a round file because you could compress the cap all the way down.