You will work with your, custodian on any transfers into that new checking account. the plan document provider you choose will handle everything with the irs and state as far as the set up is concerned.

What documents do they require, what credit scores do they allow, how do they verify previous rental history, etc.?

A property manager should not disburse funds at all unless they have the necessary documentation from the out-of-country investor.

With all the new regulations around documentation for cost segregation that has come out, I recommend having a professional do them.

They can help you navigate the legal complexities and ensure that your rights and interests are protected throughout the process.Remember, seller financing can be a win-win situation, but it's vital to approach it with due diligence and proper legal documentation.

However, I am guessing they are your registered agent for your LLC, in which case they are authorized to accept mail and serving documents on your behalf. 

It's just hard to prove our intent with documentation.

@Emre Dura you may want to connect with @Drew Sygit to discuss this in further detail after reading below...All foreign investors owning U.S. rental property are responsible for paying taxes on any and all rental income they earn in the U.S. regardless of any tax treaties that may exist.Since some of the regulations and requirements can be confusing, Logical Property Management (LPM) has created this document to summarize the options for a foreign investor.

I always have my attorney prepare the documents.  

Regarding the insurance you will need to review your documents and talk to them, but most of those won't cover residents to go to a hotel when they are tenants.