People who want to be nosy and search up who owns the house in public records will get my LLC, and if they search the state registrar they won't find my personal information, but rather an attorney who formed the LLC on my behalf.

I had a mentor who pulled me aside and told me to review my properties on the county registrar's site and look at the history.  

After checking with the local County Registrars office, I see that the population is growing too.

Make sure the Property Registrar states on the deed that it's your private property.The option of an LLC which @John Quiles mentions is an option.

I use the counties registrar of deeds to find the owners name and address. 

I suspect that only the Sumrok registrar knows the real number at any moment.  

You can also check to see if there have been a lot of purchases in the area by the same person or the same entity recently with the county registrar.

You can contact the Arizona Registrars of Contractors.

Purchase/register the property, pay the stamp duty, and at the same time register a loan on the property in the amount of the purchase (or however much he is financing).When it is paid off, documentation is signed/registrar is informed (I would guess by a lawyer) and the loan is removed from the registrar's documents.

--Lastly--and I'm not an expert in this part--but you'll probably want to do at least a cursory search online and with your local/state business registrar to make sure there are no glaring other uses of that name in your field.