Does she like the idea of her house burning down...
How about LED fixtures?
I'm more of an industrial code weenie so I sometimes stumble with house stuff. (Now if it was a Class 1 Div 1 closet I know exactly what you need. haha!)
I'll try to help. Also look at 410.16(C)for location of luminaire. I think this might help you out.
Perhaps if you explain the intent and that the reason is because people are burning down their houses the client will understand.
I'm renovating a closet in my old house. I'm pretty sure I'm going with some type of surface mount LED fixture. I know they still get hot but nothing like a bare incandescent hanging out there just waiting for the fire department to show up...
RSlater,
RSMike
