My budget will be around $200k but I’m meeting with a lender on Tuesday to go over all of my options.

Many opt for other investing methods in their SDIRA like private lending, crypto, private equity...anything except collectibles and life insurance.Note that a Solo 401k is exempt from UBIT on leveraged real estate so if you have self employment activity and no full time employees save for you and your spouse you should consider the Solo K as an option. 

Have you spoken to an immigration lawyer about your options? 

The reason why I ask is because that could determine what loan options are available to you (and interest rates). 

Two best options are house hack or sell and acquire a 1031 property.

We are proud to offer a wide range of loan options at competitive rates.

With countless loan options, complex terms, and strict lending criteria, it’s easy to feel overwhelmed.

The only other option I see is a short sale, if you don't need to purchase for a few years and don't mind a temporary credit hit to save the $60k.  

I am looking at different loan options but to break even (not having to put any money of my own in the house after the initial down payment) the current down payment required is that much. 

I know that the regulations in Beverly Hills is "friendlier" to landlords than Los Angeles and I'm exploring the option to convert a multifamily apartment into condos.