I dont know what you mean by bead-blasted satin knives...
A satin finish is achieved with a belt. This is what you find on most Spydercos for example. In custom knives you get a belt finish, or a hand-rubbed finish, which makes it smoother, more refined. This is good for preventing rust.
A stonewashed finish is very smooth and hardy. The knife is first belt finished and then tumbled in media to get the stonewashed finish. So in effect it gets finished twice. The stonewashing gives it a very smooth finish that is resistant to scratching.
Bead-blasting is a very rough finish (unless its ceramic bead-blasting which is a lot smoother). Bead-blasted knives are prone to rust. If you are trying to decide between bead-blasted and stonewashed, the latter is by far the better option.
Essentially, the smoother the finish the better. A smooth finish doesnt allow rust to gain a purchase and it also has the benefit of being a drag-free surface, for more efficient cutting. But really its about preventing rust from taking hold.