I had Spatt Acid dip mine and then sent it to the body shop while I had some other stuff being painted. It survived a 8+ hour trip to and from Dallas w/out losing a flake of paint (knock on wood):) I am sure they just painted it and put a clear coat on it.
Obviously paint will not stick to chrome well. You need to get it stripped and unless you have many hours, I recommend getting or dipping it yourself in Muriatic acid, I paid Spatt $29 that included return shipping to me. Well worth it IMHO.
I found a SVT grille, brand new on eBay before I even had my car (2+ years ago). I was going to put it on my Mom's Se, but never got around to it, so it got stripped, painted and my stock chrome now adorns my bookshelf in my room.