I don't know, but the prop tip vortices should be enough to stir up some dust? These would radiate out and back from the prop, and would result in a wake of some sort, I would think.
I also read an accident report, in which a couple T-28s were flying way too low out over some sandbars, and it stated that they were low enough for sand to be kicked up by the propwash.
So, maybe the wake wouldn't be so big, but it would probably show up, if the ground was dry/dusty enough...
~EDantes