I certainly understand your mindset, however I would go with the 2nd rental property rather than paying off the mortgage right away.You might initially have less cash flow, but rental income should increase while your mortgage payment should only be decreasing (assuming you don't have an adjustable rate mortgage).I also like the idea of having more than 1 rental property because, if each property is cash flowing like they should be, you have more of a financial cushion during periods in which one property is vacant.

There’s nothing wrong with running your circumstances past a loan officer to see what that financial institution might be willing to do.

The financials for the purchase are below.

Hi, Came across this lender: http://www.atlasfinancialllc.com/Wanted to know if anyone has ever heard of them or used them? 

You will want to look at several years of financials to understand what is going on.

My bother and I put in the sweat equity in finding, managing, and interface with the tenants, while my father brings the financial backing for this venture. 

There are generally three facets of property management: tenant management, maintenance management and financial management. 

Or go and try to find someone locally who's been investing for a while who has some capital who can be your financial partner. 

She and her husband are in a better place both financially and in their relationship.

So far I've read Frank Gallinelli's book - What Every Real Estate Investor Needs To Know About Cash Flow...And 36 Other Key Financial Measure, and Brandon Turner's book The Book on Investing in Real Estate with No and low Money Down.