The chassis is looking good, am I correct in assuming that the key caps, when depressed, will be entirely outside the pictured housing? Typically I see keys butting up against each other on an interface, but for that the be the case here, the key caps would have to be wider and you have to be sure that the depression distance of the switch is short enough to keep the back of the key cap from hitting the chassis - this could also be helped by getting the board as close to the back of the housing as possible, which is then dependent on the size of the switch mechanism itself.
I'm also wondering if you've considered a reinforcing backplate for the keypad. I don't think board flexing will be as much of a problem given the relatively short span compared to a normal keyboard, but it seems that a lot of people notice even a little play from the board flexing under the impact of a switch - some additional mounting points near the center of the board or a reinforcing plate or bar of some sort could clean up any spongyness you may run into in the assembled project.