You "might" find someone willing to provide a mortgage for you with that score, but I think that just because you can, doesn't mean you should.
Congratulations on the cash. In my opinion the wisest thing you could do with it is go to work on your credit. Pay down your debts, get a secured card (secured against some of that money if needed) and use it for gas, groceries and normal expenses then pay it off monthly. Dispute any errors on your credit report in writing to each agency that reports them. DO NOT close any accounts or pay off any old collections unless your loan officer instructs you too as a condition of final approval.
Get into some good habits and when your scores are up, you'll be able to get a mortgage with great rates and not only buy your home, but be able to keep it. Best of luck.