While I don’t have experience with the blank slate mounting boards, I just measured my Rock prodigy setup, as it is currently mounted. The total width measured between the two widest points of the pinches is approximately 27 inches. The distance between the two half’s of the board is approximately 2.5 inches.
I’m small/relatively narrow shoulders, you may want your board slightly wider, (better yet, adjustable distance, if you are willing to do that!)
But the bottom line, I can’t see any reason why you couldn’t mount the rock prodigy board on a 29 inch wide blank slate.
The 36 inch piece recommendation most likely comes from the size of the doorway, and the need to screw the mounting board in the studs above the doorway, but since you aren’t going that, with the apex board, you should be fine with the 29inch width.
9 inch height would be just enough (that’s the height of Rockprodugy.) you could mount it still, because the screw-in points are a lot closer than 9 inches vertically. But if your space/budget allows for 16inch one, maybe go that routine?