I did some experimenting with this one, trying to go for the lowest amount of polygons while keeping the desired shape, keeping in mind that whatever poly-count I make for the bases, I have to multiply by 32.
Octagon didn’t really fit what I’m going for, and I decided to try checker deselecting in a brick pattern. This did reduce the total amount of polygons by quite a decent amount, but the amount of vertices did not change, and thanks to the irregular shapes it was no longer possible to edge and ring loop select.
So I decided to split the difference, and I got the reduction in poly-count I wanted while still maintaining the overall desired aesthetic.