Ahhh....another New Mexican quail lover!! LOL Unfortunately I do not do Coturnix Quail as I would most certainly supply you with them, or could direct you to some breeders around NM. Most folks I know around here are raising Bobwhites, Gambels, Mountains, etc...
The best thing you can do is check the "breeders directory" in the stickies section at the top of the quail page. There are lots of folks that can hook you up with eggs. Most people don't ship chicks. But there may be some that do.
An incubator can be your best friend. LOL