I'm not so worried about "anonymity" because the house is our primary residence, so we're not hiding, but we want to look like we don't have excess assets.  

You can check out their thoughts on how to approach seller financing here: Making Your Primary Residence the BEST Investment Ever (Better BRRRR!) 

That is not luck, that is not random, that is suicide.So conclusion,  the people you are trying to skip trace (and pay money for to skip trace) are not just "a bad " audience.They are the worst possible audience.

Speaking from the Arizona perspective, we are experiencing continued growth, attracting lots of new residents (Californians choose Texas and Arizona as their top 2 places to move).Here's an economic forecast:https://www.azcentral.com/story/money/business/economy/2019/12/11/arizona-state-university-annual-economic-forecast-predicts-slower-growth/4398074002/Not sure where you are getting your "low rent" thoughts, maybe compared to CA.

Investment Info:Single-family residence wholesale investment.

how long have you owned it and was it ever your primary residence? 

I would first check to see if HELOC is even an option - in TX its hard to find and can only be done for a primary residence.

Loan terms are 30 years fixed and there are 10 year IO options available.Lenders will require a Passport, Verification of Residence (Mortgage Statement, Utility Bill, etc..), Either a US credit report or credit trade line history in your country of origin, US Entity documents (EIN, Operating Agreement, Articles of Organization,), 2 months bank statements for proof of closing, and 6-12 months reserves on top of closing costs and DP. 

Investment Info:Single-family residence buy & hold investment.

The guest rules state no partying and it is abundantly clear our houses are in neighborhoods with full time residents they will be caught and they will be removed without refund.