A smaller bank or credit union is typically more flexible, so I'd try calling several of them if that's what you need. 

We did our first two with 10% down no PMI through a local bank.

The bank may not allow this, im not sure.

As for your lender question, you'll probably hear a lot of people suggesting small local banks.

We would have bank statements, 401(k) statements, tax returns, etc. that would show our current assets.

The government can put a lien on your assets, and banks don't like to see that. 

I have never heard of a bank re-checking employment unless there’s an event that triggers it.

HELOCs aren't like 30YF first position mortgages where you can call 10 different lenders and all are within 0.25% to rate with very similar requirements.... each bank is making up whatever they want for the HELOC in terms of conditions, requirements, rates, etc. 

This means keeping the security deposit in a separate bank account, tenants depositing rent into a separate bank account, and having the ability to apply for a business credit card to charge house improvements and repairs to.

After leading us on for nearly 8 months, she finally informed us that the bank rejected her financing because the house is wooden and has a greater risk of being damaged by the tropical weather.Recently we were presented a cash offer of 75k and the house was appraised at 112k in November 2017.