Cashout Refinance of Investment Property in KY

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I have reached the standard Fannie Mae limit of 4 financed properties and just bought a 5th with all cash for just under $200K.  Property is a 4 bedroom single family home in northern Kentucky.

I'm seeking either a portfolio lender or a lender that participates in Fannie Mae's 5-10 financed properties program and can do a "delayed financing" cash-out on an investment property.  I prefer a 30 year fixed term but will consider others.