Alpha Delta Pi has no restrictions on jewels, no jewels, or metal color, although we don't currently offer goldfill badges and I've never seen one for sale online. We also don't currently offer no jewels for sale, which I think is too bad because my mom's badge is plain and it's very elegant.
Here is the official brochure of badge designs available from Herff-Jones. The convention badge design changes every two years with our Convention and I believe is offered for the calendar year in which the convention takes place. I wasn't even an ADPi when our 2013 Convention took place in Dallas, but I ordered the badge anyways because it was limited edition and had red, white, and blue stones.
As an aside, I have a badge that has no black enamel in the center of it, and I wish I knew anything about it because I've never seen that anywhere either. No idea if it's technically kosher or not. The stones are opal with sapphire points and there's no information on the back.