Their corporate office is pretty close to you, and they specialize in offering and managing investment properties in several markets across the US.

I dont suspect any intentional foul play here, apparently he is a doctor and most likely is in control of the corporation but I need to make sure they arent trying to execute a prohibited transaction.  

A lot of landlords are advised to put their properties in the name of an LLC for asset protection.While this is basically true, the reality isn’t what most landlords think.If a legal issue occurs with your property resulting in a lawsuit, there’s a decent chance the plaintiff’s attorney will be successful in “piercing the corporate veil” of your LLC if you were sloppy and being able to sue you directly.

Are there various strategies/corporate structures that can be employed to minimize the tax obligation to Canada when investing in the states?

I work in IT but have found the corporate world doesn't fit my independent spirit.

Any lawsuits should be limited to the assets of the LLC and not your personal assets (assuming you run the LLC appropriately and the corporate veil is not pierced, some debate as to SMLLC).

It doesn't stand alone like a corp or LLC with a corp election.

Traveling nurses and other professionals search this area often with the considerable amount of hospitals, medical facilities and corporations in the surrounding cities. 

I'm hoping to leave the corporate world as soon as possible to pursue building my dream. 

It's great that you have residency in Mexico and that you have a Mexican corporation.