Long story short, to get a loan for a primary home the lender has to be able to prove that you have the ability to repay the loan that is given to you.

Does anybody know if my father can prove his income to a lender when I try applying for an FHA loan instead of my income? 

These connections will prove invaluable when you secure your first deal and need to market the property.

They are much better for people like yourself, who prove that they can keep their expenses low, and accumulate cash.

If the lease is already executed, then he can run whatever radon test he wants and you can argue with him about whether it's a valid test and perhaps depending on your local laws make him prove there is a problem with a better test.

Use data and analysis to prove your ideas that it's a good investment.

Study the market.

They will probably require all the articles of organization and EIN paperwork proving everything is legit.

Have you considered a cost segregation study on your properties? 

Where are you studying self storage as an REI?