I'm prepared to look elsewhere if I have to: inland empire, high desert, central valley...4-unit or fewer multi-family appears to be a good fit.

Sahara desert by behr, painted to death around here!

Now I know some brokers here in our area will rep desert properties and costa rica etc etc..

What if you hate the Desert in 5 years?

I have not invested in Globe, but I have look at deals there, but I have invested in Nogales, Florence and Douglas which are very desert, small towns, when I drop $450k in Douglas my partners taught I was crazy, buying a 12 units, well I was crazy happy that I was Cash flowing great money and now just sold it, so I bought in Nov 2011 $450k sold in March 2016 $670k which made me a bit happy, never put a penny into it either. ( my partners now call me desert king and I like the term )  

House is in Desert Hot Springs, CA. 

When I think of New Mexico, I think of adobe homes in desert-like environments with cactus's and such.

We showed up at 8 o'clock this morning, and the place was deserted.

Desmond Alexander I haven't heard of FHA zero down but it sounds like some are advertising similar things in CA. http://www.desertsun.com/story/money/real-estate/2017/09/08/get-house-no-down-payment-one-desert-lender-says-its-possible/594674001/Basically they are combining FHA with those local downpayment assistance grants .I think those grants are usually for first time home buyers.Personally I don't know if people have zero down and no money getting into a house is a good idea .

Either you aren't doing many deals or you are acquiring property in a very undesirable area (country, desert, swamp land).