Cash out refinance with stated income

[Robin McMullen]

I'm looking to refinance my SFR to a lower rate (currently at 5.125%) with cash out to purchase a cash-only investment property to rehab and rent. The current mortgage has $248K left on it and the property is currently valued at $710K, no missed or late payments, and my credit score is 740+. The house is located in Hawaii.

However, my income situation is complicated, especially in the last two years and I'm wondering if a stated income option is available? Otherwise, are there any other financing options that I should look into? 

Thank you in advance for your help!