Better to sand down floor or trim door?

I’ve been working on installing a sliding "barn" door. Unfortunately, I hung the door too low by about 1/4 inch because the directions that came with the hardware to do so are incorrect. As a point of pride I contacted the company to try understand how I had screwed this up; they confirmed via email with new directions that the hardware measurements in directions were incorrect. Never-the-less this doesn’t help me as I have already install the railing and don’t want to drill new holes (the railing goes into bare wood so the old holes would not be easy to cover up and would be unsightly). Therefore, I think I’m left with two options. 1) trim the door down or 2) sand the region of the floor where the door makes contact. 1) seems like the obvious answer, but will break the symmetry of the door and bothers my aesthetics. 2) would require sanding a 2 inch x 1.5 inch section of the wood floor (near the wall) down 1/8 – 1/4 inch and then refinishing that section of the floor. The house is old so the floor slopes away from that point and the spacing isn’t an issue anywhere else. My question is if this is feasible and/or a reasonable approach and if there are any potential issues with doing this?