welcome to the gulf that exists between “vertical stack-up of panels+circuitboards put together with standoffs” and “making enclosures”. I have thought about this before!
Because of the current design, any canted option is likely to end up wider than the current version - all the mounting points are at the very corners of the current hardware, so supporting them in a canted frame will require something at the edges; the main hardware will most likely be suspended from the top of the frame, rather than supported from below; then, the top frame will somehow be attached to sides/base separately from the hardware. However - that will put a moderate amount of weight on the eight screws in the top.
The nicest, and slimmest, alternative would be to mill out a piece of aluminium - much like the base of a monome grid - and use that as a support, the angle being built into the milled block. You could then genuinely support the whole thing from underneath, at an angle, and even mill out cable recesses.