I would suggest you take it to your local corian shop and ask them to color fill it for you. They will use the same material the corian is made from and it will last forever - it becomes part of the corian, not a coating on top of it. Any other paint has the possibility of coming out, chipping, etc., because it is going to flex differently than the corian when exposed to the weather outside.

Gary

Lynn,
The corian color fill is the perfect solution for outside as Gary suggests. Be sure to do a small sample first so you can figure the appropriate settings on you laser for depth. Because it is a catalyzed filler, you have about 15 minutes per the instructions to get it into the voids of the engraving before it hardends. You will have a slight raised surface of filler above the original piece that you will want to sand down. Finish with fine sand paper and buff. This I'm sure could all be done with the corian jobber. This is a fun way to do custom logo cutting boards for the catering and restrant trades.