I'm not sure it would take either, but it might be worth a try as opposed to paying for a complete repaint.
Get yourself some very fine wet sand paper. Something like 1000 grit. Its going to take a long time to sand thru the clear with this, but you definately don't want to take away much of the base coat. Once you've sanded off all the paint that has the rash, be sure everything looks smooth. The buff any light scratches out of the base coat and any remaining clear. Wash it off VERY well with soapy water to be sure no risidual buffing compound is left and carefully re-spray with clear. To really get it to shine, you may have to re-sand the clear coat lightly to smooth it out and buff again.
I wouldn't just leave the clear off. Base/Clear coat paints are designed to have both... the base will look dull compaired to other panels with the clear coat on it. IT may not hold up well either.
Whatever you decide, good luck!