Bending - well, you really wouldn't need anything crazy. I'd bet just a piece of scotch tape would reflect well enough. Or maybe a piece of black electrical tape...the inverse of what I was thinking earlier...it DOESN'T reflect.

As far as sticky and reflective, why even use any tape at all? The white screen itself should be reflective enough to bounce some light back into a sensor. Then it would be a matter of 'dialing out' the ambient light.