Don,
It almost seems like you might be well served by speaking with a modest number of gunsmiths if you haven't already. They may be able to talk to you about the methods being used for this kind of work and the pro's and cons. Seems like a laser, even a Chinese laser, might be a lot of $$ to shell out for what looks to me like a process well suited to a Fordom tool and an engraving bit. Unless of course you have other worthwhile uses for the laser scoped out. Most of the friends I have who are gunsmith's or gunsmith wannabe's do this kind of grip work by hand. Even the fancy work done on wooden grips for handguns and rifles. Not trying to talk you out of this approach. But with the information you have given us it seems like this may be a costly approach to a process that is easily done with less costly tools.
Also, I see that the pattern on the grip goes completely around the grip. Keep in mind that a laser is designed to work on a single plane and has a very limited depth of field. Forgive me if I am getting too basic for you....but think of a laser as being a magnifying lens that is engraving or cutting where the light going through the lens is focused. If you move the lens up or down the point of focus moves and the ability of the light to do any work for you is reduced. It is that focal point that is the key spot. A laser doesn't dynamically move that lens up and down to follow the contours of an object. You have to focus the lens on the object, do your engraving or cutting, and if you need to work in another plane on the object you have to refocus or move the object. So in order to do something like that grip you will need to reposition it a number of times for the whole surface to be covered. It can be done certainly, but again, a hand held rotary tool might server you better? Talk to some gunsmith's if you haven't already. Also....are you looking at a production line for this? If so perhaps expensive equipment is justified. But most gunsmiths don't do production work. Talk to them if you haven't already.
Dave
900x600 80watt EFR Tube laser from Liaocheng Ray Fine Tech LTD. Also a 900x600 2.5kw spindle CNC from Ray Fine. And my main tool, a well used and loved Jet 1642 Woodlathe with an outboard toolrest that helps me work from 36 inch diameters down to reallllllly tiny stuff.