Thicker shells, meaning anything over 7.5 mm will yield more high end crack and projection, not the goal here, if I am understanding correctly. If more bass is wanted from your snare, 30 plies is the complete opposite direction to go for a build. It's a fact and not even disputable that the more mass something has, the higher the pitch when it resonates. Think of a manhole cover and the high pitched ring it would make if I hit it with a hammer. Same with a cymbal or drum. More weight or mass = higher pitch.
If maximum bass response from a snare is the goal for the build, physics dictate a lightweight shell made with a darker sounding wood like mahogany bubinga or walnut. Build a thin shell (5 mm or less) and get a deeper size like an 8" depth. You may even want to consider a 15" diameter snare. A 12" snare...again, it's the opposite direction to be going if more bass is wanted from your snare. An analogy...a 12" will sound more like a firecracker where you really want an M-80 or a cannon. (At least that's my perception of what I think you want)
If you are set on the 12" diameter, again, for the most bass you can coax out of it, build a thin shell with a deep depth. The thinner the shell, the deeper sounding the drum will sound, for real. Still, it's not going to be a night and day difference, more like an afternoon/evening difference