Did you cut those pieces or use a kit? Either way, that looks fabulous. Excellent work! As to the snap, I can’t quite tell how tall it is, but most of your bulk comes from the thickness of the layered card pockets, I wager (my personal wallet looks similar). You may be able to reduce the bulk by skiving the edges, and/or reducing the number of pockets inside, and thus the number of overall layers. To hide the female portion in the snap would likely require a different style of snap altogether (that one looks like a line 20 snap). KAM Snap has been recommended on here and appears to be very low-profile, although I haven’t had occasion to use its products personally. I think @fredk can tell you more.