What are some colleges where you might get a full ride even if you're not in top 10%?

Based on my practice SATs I’m thinking I might get a 1500+ even though I got a 1410 last time. I took a lot of APs and top 20-25%. There’s a school near me that gives automatically assured full tuition to people with my stats but I’m looking at more options as well, like maybe schools where its not automatically assured but I still have a chance at getting the scholarship? Idk if i phrased that right. Also I don’t demonstrate need.