I do nothing after the last coat. I rely on the steps I took to ensure a dust free environment while the finish cures.
Usually I try to ensure a dust free spraying area by giving it a thorough cleaning the day before, then prior to spraying, I wet the floor to keep the dust down. Within seconds of spraying the final coat, I move the bow to a clean, still, dust free area to hang until the finish cures, so that any airborn dust or overspray doesn't settle on it.
Usually that's all I need to do, but if for some reason after it's dry, I find a speck of dust in the finish, I'll wait until the finish is totally hard, then try to knock the dust speck off with my hand, or a clean cotton cloth. If it's too big for that, I may just touch it with some fine grit wet or dry paper then steel wool. If I can see where I rubbed it, I'll mist a little spray over that area and hope it all looks uniform. If not, I'll respray the bow.
Even a single tiny speck of dust in my bow's finish drives me NUTS.
I too use Tbird satin.