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Between the two options that you asked about, I would say paint the box gloss white, unless you can use an extremely thin sheet of acrylic. Remember, for mirrors to work, the light must pass through the material, reflect off the backing, and pass through the material on its way out. Effectively, double the thickness of your mirror and that is the distance the light must travel through the acrylic, discounting angles. You can begin to see why mirrors arent incredibly effective. Parabolic reflectors are extremely efficient, but if you dont have the cash, well hey...you dont have it.
My DIY side would make a suggestion to you. Buy a sheet of aluminum from Home Depot for like $10, and polish it yourself. A grinding wheel, buffer, or my fav...a cordless drill will all work. For the drill, buy a polishing pad and some aluminum polishing compound. Go to town till it shines, get some Mother's polish and finish it off. give it a THIN coat of clear lacquer, bend it to form, and rock on.
-Matt
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