Financing your third house hack?

[James Tardif]

I'm currently house-hacking my second 2-family property; I'm starting to think about the next one (naturally) and need some direction on financing. I have one conventional and one FHA loan out, and re-financing the FHA loan would not make sense since I have a very good rate (2.63%).

The thought behind REFI'ing was to re-open my FHA eligibility. I don't see any other low down-payment programs available that can be used while holding an FHA loan. Am I limited to a single family property as my next move, financing with 5% down conventional? Maybe these options are out of the question because lenders will view me as over-leveraged?

Anyone with experience financing a 3rd + property, I would greatly appreciate some feedback!