What alternatives are there to sanding resin parts with fine details? I have some transparent resin parts printed with a polyjet printer. Where the support contacted the part it has a matte finish. The recommended finishing technique for these parts is to sand them with sandpaper, but the geometry of my part makes that very difficult. What alternatives to sanding do I have, to give these parts a glossy finish?

I'm looking for techniques appropriate to a home or small office environment. A technique that needs special equipment bigger than a desk is probably not going to work for me.
desktop tumbler/brass polisher, rotary rock tumblers are probably a better option than a small sandblasting cabinet. choose your abrasive material from there, a coarse sand is probably not what you want but there are walnut based things and finer grit materials that should be able to get a nice shine. if you would rather do it manually and geometry allows you can try a dremel-type rotary tool with a buffing wheel or similar