Hi David,
First question -- sure, if you want to. There was also a 3D print design of an AQ protection box around here at some point (maybe it's on Shapeways). Many people like to put a clear dome over the whole electronics stack, so the indicator lights, etc, can still be visible.
The dampeners, probably not so good. Typically soft mounts make things worse. It might work better if the AQ board was mounted to a heavy block of something (aluminum, etc). But often you'll get some vibrations amplified instead of dampened, and typically it's less predictable than a hard mount. YMMV, as they say.
-Max