If you go back to work as self employed, there are some NonQM programs out there that can do a cash out refi after just 1 year of bank statements or P&L. 

Through my studies, I met my current employer, who owns a construction company where I serve as the Sales Director.

Having watched many prior co-workers get paid, cash their check at the casino, and promptly deposit it all into a slot machine I can tell you with pretty good certainty that casinos don't have a positive effect on disposable income and good use of the existing income in the area surrounding :)Are there solid local employers OTHER than the casino in a 15-minute drive? 

My husband and his partners sold their company, and he is transitioning out of full time employment there in the next couple of months.  

Verify employment and call previous landlords to avoid tenants with red flags.Rent Setting: Research comparable rentals in your neighborhood to ensure your rent is competitive.Use Technology: RentRedi is a great choice.

It seems like this would have to be some preset terms under employment agreements.

However, I have found trails of information on the internet and FHA-type websites indicating if you relocate due to work, that you are not bound by the 1-year rule once you begin at your new place of employment.

Need letter from employer that either says they allow remote work or the hire is for Texas location. 

Given that I am self employed, a few personal loan options, did preliminary asking about my situation, and they got lost in the weeds with how my real estate income looks so dismal on tax returns.

I am currently employed as a project engineer working for a GC that builds multi-family projects.