I think most paints will absorb laser, hence be burned away. I used a blue engine enamel from a spray can once as a solder resist and removed with my laser. The harder part will be finding the white paint that reflects the laser. Just because it is white does not necessarily mean that it will also reflect an IR laser. Different wavelengths of laser will require different paints. I am sure you can buy paints that are made to be reflective to a laser, but you might just experiment with different spray cans.
I do my engraving on reverse engrave acrylic withe paint fill. Basically it is a clear piece of acrylic with a thin backing of black, white, or other color plastic. You engrave from the back colored side deep enough to go through the color, but not all the way through the material then fill it with paint. From the front side you have a durable and perfectly smooth surface and you can do multicolor by engraving, painting with one color, engraving other areas, then filling with another color. Works great and is available from Rowmark and other engraving plastic suppliers.