If you stack-cut a pattern you can go between 1/2" and 3/4".
If it takes an hour to cut the blanks, make the stack, apply the pattern, cut it, and remove the pattern remnants, plus another hour to finish the pieces, what is the labor rate? If it is 1/8" and you cut 6 at a time in the 4" to 5" size you have $9/hr, double that in the 1/16" size if you sell for the $3 you quoted.
I cut a state ornament I designed, 6 at a time, 1/8" BB. Alaska, with a bear or eagle or moose outline done with a spiral and the current year. They get snapped up because of the date and that they are unique. I get $10 each.
My point is you likely can't compete at $2 and $3 for the lazer cut design, but can do quite well with your own creation that is unique. So what are the defining features and attributes of your area?
I don't mean to be off-putting, just mean to share an alternate solution.
Terry