If they're not really interested in smaller Multi's then it's unlikely they'll give you great terms.

I have found a few multi-family properties I am interested in purchasing, all meeting at least my minimum cash flow numbers and Cash on Cash percentages, however these properties are about 4 hours away from my primary residence.

Hi Brie, Some things I always recommend are to walk the tenant to their vehicle after you show the property or hand deliver a lease to their current rental to have a better idea of their cleanliness and how they treat their personal property. 

I currently live in Denver where the market is HOT, but am actively seeking deals (residential, single and multi-family) to help build equity and a safety net just in case the market bears towards a correction in the next few years.

2 things come up when I read this, finding multi-units and lease-to-own options. 1.

Once our finances are in order, I’d like to find a multi-family in our school district and house hack.

After much searching I've found an out-of-state multi-family building that looks like a good buy. 

I currently already own several multi family and a few apartment complexes.

Guess the plan now is to finish getting positive in cash flow in September, and then on to buy my first multi-family property and keep my current home.

One you have a strategy, you can work with the advisor to decide on which real estate vehicles can help you going forward like what @Jay Hinrichs suggested.