Binder storage for Ancients?

I'm using 3 and 4 ring binders with Lighthouse pages to store my collections. There are specific rigid plastic pages for snaplocks and for TPG slabs. I recently acquired a Shekel of Tyre that has a higher relief than a snaplock will allow. Does anyone know if the available DIY slabs out there will provide the needed depth? I know NGC has graded and slabbed similar coins, but I'd hate to have to submit the coin just to get a useful storage format. TIA.
Does the material give rise to the immaterial, or vice versa?
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Lighthouse make large round cases that are wider but also deeper:
4.5mm high https://www.leuchtturm.com/ultra-xl-21-62-mm-coin-capsules-pack-of-10.html
6.82mm high https://www.leuchtturm.com/ultra-xl-coin-capsules.html
There are other heights/widths.
Although large round cases don't really go with anything else...
"Although large round cases don't really go with anything else..."
I didn't know about these, thanks for the idea! These might work with the 4-pocket pages I'm using to store GSA hard pack Morgans.
Does the material give rise to the immaterial, or vice versa?
I've decided to use the simple 2x2 archival plastic coin flips. They fit exactly inside the rigid Lighthouse Encap snaplock storage pages. A real brainfart to think I needed something else . . .
Does the material give rise to the immaterial, or vice versa?