Well, if you're willing to ditch the box the bracelet came in...
Viv and Ingrid are pretty cool jewelry designers and they happen to put their jewelry in these really cute fabric pouches (see link below) (and no, I have no affiliation with V&I, I just got done buying stuff from their website
Anyway, it would be pretty easy to make a fabric envelope that you could slip the bracelet in, then tie with ribbon or make a ribbon band like in the link. Looks cute and professional and if you're anything like me you might have fabric scraps sitting around that could be put to good use.
Hope that helps!