You do not need a work permit or a green card to buy property in the US, it will be tough to get a mortgage without either but I'm sure the IRS will welcome the extra revenue from an alien filing taxes.Your biggest problem IMHO is that you are not guaranteed entry at the borders and the activities you say you want to engage in when you come are almost certainly  not permitted on a visitors visa because I think they will be deemed as working. 

My team has been investing in the Memphis market since 2010.Just recently closed on a 144 unit place in Desoto county just across border and was 96% occupied.

Ajo will always have border patrol jobs.  

“Be always sure you are 100% right, then go ahead.”
~Davey Crockett

Hello all, my name is Robert and I'm a newbie here in the Rio Grande Valley of Texas - specifically Brownsville, Harlingen, South P...

How would you market your real estate to a border state where their influxhas influenced the market(example PA with buyers from NJ),

I think I'll try direct marketing as land prices listed on the free real estate websites are too expensive bordering on lunacy.  

The increasing population, 5 military bases, over 16 colleges & universities, 2 major medical centers, proximity to Eagle Ford, and the fact that it's first major city north of the Mexican border all help make this a healthy market for investors

I thought of something regarding your chosen area of the 210 corridor you may or may not have thought of already, but just in case:The LA county cities that border the West End (Claremont, Glendora, etc) are pretty different markets than SB county cities along the 210.

This neighborhood, Sharswood, which borders the more popular neighborhood we focus on (Brewerytown), has some interesting stuff in the works over the next 10 years.

My target market is an infill location in the city with the best schools in the state, bordering on the wealthiest suburb in the state.