Paul, I have Magnums like yours on my Avanti…. however my center caps are much deeper, (or one could say ‘taller’ than yours)
Too bad you can’t find a set of caps like mine, as they are retained by a cone shaped inner bracket, with two 1/4” short bolts passing through the cone and into the back of the center cap…. Bulletproof, and very easy to remove & install.
( sorry my comment doesn’t really help with your issue!)