How to make sharpie stay on plastic?

I got bored, and I thought my iPhone case looked dull. So I covered it in white nail polish and let it dry. After, I copied this design onto it:
http://blog.mjtrim.com/2012/06/16/top-5-diy-phone-cases/
(If you can't see it, its with sharpie markers) I LOVE IT! But I think that it'll come off onto my hands when I hold it. After the sharpie drys, if I put a top coat of nail polish on it, will it smear or come off or anything? If so, is there any way I can make it stay?

She says http://expecttheunexpectedwithdenise.blogspot.com/2012/05/diy-tribal-print-iphone-case.html that she used clear nail polish - I would certainly want to check in a small area to see if applying the nail polish would smear the Sharpie lines - notice that she used a white case, so your white polish layer might change things also.

Put a gloss or a clear nail varnish (gloss works better) and it will be shiny and perfect, your sharpie must be pretty weak to smear MAKE SURE IT IS COMPLETELY DRY.

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