@Macie Arrington thanks for posting here (and thanks for the mention @Joe Funari) you already have some good suggestions above and I'll hit some pointers here as well.
Generally speaking there are 2 main types of loans for investors: “Conventional” and “Portfolio”
Conventional - I'll define these as loans that come from Fannie Mae and Freddie Mac (if you recognize those names). These loans are all 30 year fixed rate loans. They have the lowest rates we can find and since they are 30 year fixed...they allow us to cash flow better...which helps us qualify for other loans later. The draw back to these loans is that they are more paperwork heavy than the other "portfolio" types of loans....but if you have ever received a loan on your primary home, it's likely that you will go through the same type of paperwork here with conventional lending. Fannie/Freddie money = Fannie/Freddie rules. NOT the bank's own money.
Portfolio - I'll define these loans as loans that come from the bank's own "portfolio" of money. Sometimes referred to as "commercial" loans. These loans are a lot more flexible than "conventional" loans. Bank's money = Bank's rules. If they like you, then maybe they will lend to you. But since there is a limit to how much money the bank has access to....their rate will be higher...and usually a shorter term. The most common portfolio style loan in Texas is a 20 year adjustable rate loan. These loans are easier to get but the terms are different.
Fannie/Freddie types of loans will be available everywhere and those rules might change SLIGHTLY between lenders. Those are the loans that need 2 years of tax returns. Portfolio loans can run the gambit. Since each lender controls it’s own money you will have to call around to ALL the banks to learn about all the programs. A mortgage broker will help with this some…but even the best mortgage brokers don’t have access to ALL portfolio loans out there.
A small, local lender will be your HIGHEST probability of success. The unfortunate thing here is that investment properties foreclose at a higher rate than primary homes so many banks just don't want the exposure to this. But it is 100% possible to find a lender that will ignore your "taxable income" but you have to put in the time or at least know someone that ALREADY has the connection. Here's my 3 suggestions:
Post in the Bigger Pockets STATE forum that you are looking in. There are usually some good, local investors that monitor those forums. Maybe they already have a suggestion or recommendation for you? Certainly try there.
Visit your local REI groups. There are many groups that meet across the country. Some post here on the Bigger Pockets Marketplace. Many post on meetup.com. Networking is always a great practice and you never know who you might meet there and what good information they have to share. Would certainly recommend visiting if one when that happens but many are hosting online meetings.
Calling - and then there's this option. Which is what I had to do in many cases. I had to call about 200 lenders (no exaggeration) to learn of 4 lenders who lent a certain loan. First, when calling banks target the smallest most community based banks you can first. If you have never heard of them, and they have one location - that's a good candidate. No big, national, publicly traded banks will do this loan type. And that residential department will often not speak to the commercial department. So they'll just say "sorry, we don't do it"....not even knowing that they really do! So if you ask for a "investment property loan" that should get you to the COMMERCIAL division. That's the section of the bank we want. Now, most of these smaller banks may only have 12 employees or so. So don't get frustrated if they don't return your call or aren't in the office. Just call back and be friendly. Maybe play dumb a little "I don't know if I'm in the right place..." "I'm sorry to disturb you, you may not be the right person for this....", etc. Maybe someone can get you to the right person. Again, be prepared to call A LOT.
*WHEW* I know that was a lot of information but hopefully some of this helps. Feel free to reach out if you need anything further. Thanks!