I find no mention of L. rubudis in my books (a link here though:
http://botit.botany.wisc.edu/toms_fungi/oct2005.html).
There is mention of a L. rubrilacteus in "Mushrooms of Colorado". I don't know if this is the same species.
I would pay more attention to the characteristics of your specimen and its micro-environment than to a book's description of a species' range. In particular, it depends on where you found it in New Mexico. There is a world of difference between a ponderosa forest in the Gila and a spruce forest in the Sangre de Christos.
Can you post photos of your specimen?
Can you describe where you found it?