Thicker/Deeper Plastic Capsules For Ancients Available?

I've got three ancients arriving soon, and I'd like to display them in a box like the one in the attached photo. But after reading a bunch of Amazon reviews, it seems the plastic capsule that the coin sits in (see photo) is too shallow and can't be properly closed on many ancient coins due to their thickness.

So I thought I would still order the box but use a same-size outside diameter capsule that is thicker/deeper. But I'm having a heck of a time finding such a thing. I've found many capsules for sale with various diameters, but they are all designed for modern, thin coins, not thick ancients.

Has anyone found either a replacement capsule I can buy, or an overall different box design I could use?