Painting it would work fine. Dont worry that its chrome you just have to prep it good. Wet sand it with 600 grit till its nice a dull looking. Make sure you get in the grooves really well to so it has a good grab on the metal. I would highly recommend you spray a epoxy primer/sealer on it and let that dry for a hour before you spray your paint. Before you spray anything wipe it down with some wax and grease remover. Then spray the epoxy primer/sealer and then your paint.
I paint chrome fork lower legs, headlights, valve covers, and what ever else people bring me and its never been a issue. I would say if you lived close by to drop it off and i can have it done the next day. Most paint places wont charge you much to spray that. Good luck!
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