If he won't let you call HR, then deny his application and move on.

My understanding is an E2 Visa is an investor Visa (ie. you need to buy a business) OR you can piggyback off an existing E2 holder. 

I own a mortgage company, so I have my loan officers use this Fannie Mae income calculation tool for all business for self borrowers: https://singlefamily.fanniemae.com/applications-technology/income-calculator .

I use a point system for screening; applicants get positive points for positive aspects, lose points for negative aspects, and I have a point threshold for each property. 

For that reason my money is elsewhere.You are almost never alowed to do your own renovations, and have to pay an application fee to get approval to do work on your rental.

Hey there, I'm a UK National working in the US under a L1B visa.

You should not accept this tenant citing "Wasting my time" on the application!

Is it too much to ask PM send me the application to review and let me pick the one look good to me?

If the rehab is good, lower price and you'll get applicants.

In the message, I could say "Did not go through application because unit is already filled."