As you can see by the Fannie Mae eligibility matrix here: https://www.efanniemae.com/sf/refmaterials/eligibility/pdf/e
Cash out refinances are allowed on a 1 unit investment properties up to 75% LTV with a 700 credit score. Rate and term refinances are allowed on a 1 unit investment property up to 75% with a 640 credit score.
Consult a licensed loan officer who understands this for pricing.
First and foremost, getting a mortgage or refinancing a rental property will be very difficult if not impossible. I would check with the bank you bank at first, and see what they say.
Just yesterday I signed a deal for a client (an investor) and he said he was able to secure an investment loan through his credit reunion (yes he has his accounts there). So maybe they could help you where you bank. The interest rate was 5,.125 but ghe has to put down 20%.
Ask around and see what you come up.