So are you looking for a home equity loan?
I'm confused by what you are looking for. You paid the house in cash. I'm assuming you paid for the renovations in cash (or credit cards). Is this going to be investment property for you?
Why do you want to get a loan on it? To replenish the cash you spent on it?
I don't think it's a refinance. It might well qualify for a home equity loan based on post-renovation appraisal, but I would imagine it might be hard to go past 80 percent?