@Tom Albares You might be looking at your situation too narrowly. If you are making good money on your 2 current investment properties, have a good down payment saved up (hopefully from those investment properties), and have a favorable lending profile, most lenders can find a way to help you grow your portfolio even more. You make money and they make money.
As an example, I just helped a corporate executive purchase his THIRD investment property over a 6 month period and the only requirement the lender had was confirmation that each property was filled with a renter before giving the green light on the next one. He was veteran but did not go with USAA or similar institution as they typically focus on primary residences and not investment properties
Sounds like some good lenders have already chimed in, recommend you interview at least 3, see which one gets you and your goals and move forward. Let me know if you need any investor friendly lenders that are local to Tucson.