Marcia my landlord history and past track record is almost identical to yours.

I am sure if you have properly capitalized the LLC, have operating agreement, minutes to meetings, management contract and all other required documents, they why get separate EIN (its free after all). 90% of LLCs don’t follow the other required rules to create its separate identity, so initially opening bank account with SSN is very normal.

A trust would be a wise move as well, if you're very concerned about your identity, but I would start by ensuring all the LLC info was buttoned up and minimize (eliminate) interaction with the tenants. 

Listen to his/her feedback and see if you can validate it with a second opinion or with other means of verification, such as contractor estimates.

Cris Lots of companies will do this with no business history and the only income verification will be the leases. 

You will need to research deeper to find out how to hold an LLC and have your identity concealed.Another option is using trusts.

Most of our clients have almost identical situations as you. 

Newer Mobiles(modulars) in my area are build almost identical to regular houses. 

We do all of those tasks and more here; and previously in another state PM tasks were identical.

Know the borders and boundaries, they are more important than zip codes.This is a city of neighborhoods, each with its own identity.