JB,
Even though I wouldn't recommend it, I have had success painting over chrome. In fact I just finished a headlight housing for a chopper that had chips in the chrome and the customer didn't want to pay $400 for another one. He also wanted to keep the cost down as much as possible.
I used 80 grit to scratch up the chrome as much as possibly. If you see shine, it will *definately* peel on you, so scratch it up very good, then I simply epoxy primed it (catalyzed primer), resanded it, then painted it.
Worked great.
I also have done this before with no problem or any sign of peeling.
Although on my truck, I had the chrome bumpers sandblasted (to remove all chrome) before painting