The carpet and screen ideas are probably best, but as last resort I'd also suggest picking up a cheap metal detector. I live in a dusty environment and my tractor can turn my native soil into "moon dust", several inches deep; it's godawful.
I picked up a metal detector from amazon and sometimes this is the only way to find the odd bolt or wrench.
Not going to help much if the item is made from plastic, but in that case I'd probably grab a small piece of mesh and just sieve the immediate area in hopes of finding it.