@Caleb Bryant I set out to do the same in the Nashville area two and a half years ago.
Let me share with you some real numbers so you have direction.
With the exception of one duplex I bought all cash for $187k, the rest of the units I partnered up on with one person and we took conventional 30-year fixed financing putting down 20-25% each time. The $ figures below represent my share of what I invested. To do the same, you'd need a partner who can pony up the same funds as you.
In that time so far we have acquired 13 units (mix of SFH's, duplexes and now one triplex) with my personal investment at just a little over $375k (out of savings) for total net cash flows of $40k/year after ALL expenses.
Now I don't touch that cash flow that comes in and plan to use it for down payments on other properties when a good deal comes up. That is the snowball effect. My hope is that I can double my portfolio in two more years, but property prices are high and we have to go after dogs we can rehab so our leveraged returns go lower since more cash out of pocket. So it's very likely I may end up investing another $375k ($250k out of my pocket plus saved cash flows from existing properties) and end up with only $30k/year of extra cash flows.
That would put me on track to make $75k/year net (EBITDA) in five years of investing. I don't do this full-time and I am an out of state investor so you might be able to do better than this. The local guys doing it full time get the best deals.
In these numbers I don't talk about appreciation or principal pay down because I am buying and holding these, and aiming for solid cash flows with strong tenant quality.
If you have numbers to share, I'd be happy to provide feedback on what you can expect based on what I've experienced.
Good luck!