Being able to pay full price won’t help at all if your stats aren’t competitive. Colleges that are need aware may take a full pay student over one who needs a lot of aid, but I don’t believe they’ll take a full pay with subpar stats; they’ll just keep looking through their stacks until they find one with competitive stats. You have the best chance at schools where your test scores and GPA are in the mid to upper ranges for admitted students. Good luck.