What is your estimated class rank? If you’re in the top 5% then that bodes well for Ivies and T20. If you’re outside of that (even top 10%) you are still a great candidate, but just note that you’ll have to aim a bit lower.
Are you interested in medical school? Then note that the prestige of your undergrad degree matters little in admissions decisions. Most of it will be based on GPA + MCAT. So go to a college where you can get a high GPA, and keep costs low.
Since you are full pay, make sure you take advantage of the early application advantage. Consider ED or EA, or both. Also make sure to consider ED2.