Brent,
That's a lot of letters to squeeze into a 1 1/2" by 3" plate. I have a cnc machine but I don't have the expertise to program it to do that. The 2 has ten different radiuses that have to flow smoothly. If I wanted to try something like that I would design it ten times the actual size to make the layout easier and then divide all the dimensions by ten. the upper left corner should be designated zero and all dimensions should be measured from that point. Here's a picture of a 4x10 piece I made from the leftover aluminum from my 40 Ford panel truck dash. It's been kicked around for a while so it's scuffed up. The dash was 4x48 inches. I made the V8 in the center of the dash half the size of the one pictured by dividing the dimensions by 2. I engraved it with a 1/8" ball end mill. What you want requires a much smaller end mill. I sprayed it with red paint then sanded it for a brushed aluminum finish and clearcoated it. It took about eight hours to draw a picture of what I wanted and work out the dimensions and another two hours to program the machine. Machine shop time was $35 an hour when I made it. That adds up to $350 just in the planning stage before I bought the aluminum and turned on the machine. That was just for one letter and one number and the "wings". Have you cosidered having the badges made by a trophy shop. They have the machinery to do the engraving at a much lower price than a machine shop.
AL