Cragar SS lug nut trouble

Hi all. I recently got some new Cragar SS wheels (Part number CRR-08060) and new tires for a friend's grandmas '68 Valiant. It's a bone stock slant six car, 5x4 small bolt pattern with 7/16x20 studs. I picked up a set of shanked lug nuts (part number CRR-27721-4 from Summit) thinking they'd fit but alas, they don't fit through the holes. I'm thinking of getting longer studs for conical lug nuts, since the holes seem impossibly small for shanked lug nuts to fit through so I'm thinking the conical ones are what I will need to make this work. Does anyone have any experience with this? Any suggestions or tips would be extremely helpful, what length I should get, etc... Thanks all

PXL_20240504_180309459.jpg

PXL_20240504_180217872.jpg