Is there such thing as a soft tip screw driver that won't hurt painted screw tips?
In researching your question I came across several jeweller sites that claim that with proper technique you should be able to remove the screws without damage.
However I found this unsatisfactory, so I dug deeper, and the answer is yes, there exists nylon bladed screw drivers
I put a bit of masking tape over the tip of the screwdriver to provide a bit of cushion and edge protection. I usually run into this when installing wall plates for switches and outlets. A standard screwdriver can scrape the paint off the screw pretty easily, but the tape works for me.