My son is willing to help me out by cosigning on my mortgage re-fi. I can totally afford payments, taxes and insurance. It's just that I am currently too much involved with credit card debt and find myself borderline in qualifying. I would like to cash out and paynoff my debts. He is aware of the risks involved and doesn't want to remain on the loan long term. How soon afterwards can I re-fi and take his name off loan and title? Is this something that is doable and legally okay??

You can refinance after a refinance just as soon as you can find a lender who will give you a loan. There are no time limitations on refinances. However, keep in mind that it may take some time for your credit score to improve enough for you to qualify for a new loan without a co-signer. It could be several months before you will qualify.

I agree, your credit will have to improve to the point to allow it.