I would recommend working with a TK provider that has options for you to diversify in multiple geographical locations. 

Another positive fundamental of the multifamily sector is the continuing trend of return-to-work policies.

They are working or they are retirees looking to have some fun.

It helps absorb the cost of your payment and gives you a better understanding of how REI actually works.

It takes some patience and perseverance but with the right team, it does work.

I think the easiest answer is to work on your credit and increase your income to qualify traditionally.

Any creative strategies that have worked for you?

It worked out well for me.  

We need to learn more about how taxes work as foreign nationals investing in the USA, and what entities are best for tax/legal purposes. 

nothing is done until its signed but you do risk hurting a relationship with the tenants if they are proven good tenants that have been there awhile I'd simply work on a multi year or longer term lease that has set increases in it so you don't have to worry about it for awhile.