It is risky to use steel wool to polish stainless. The microscopic particles of steel left behind will cause stainless to rust, especially the nonmagnetic 300 series stainless. We have used a Scotchbrite fine light deburring wheel on a bench grinder to remove tooling marks prior to buffing trim pieces with good results. Scotchbrite hand pads are less effective. If you use wet/dry paper, start with no more coarse than 320 and go to 600 and maybe 1000 before buffing with a buffing wheel. Try to have your sanding motion with each finer grit not exactly parallel to the motion of the previous, but at a slight angle, maybe 30 degrees or so. Your last passes should be parallel to the trim piece edges not across it. Those scratches remaining will be much less visible.
Good luck with your project.
Mar-Ktech
