You can’t take on that kind of debt without a co-signer. OR your parents would have to borrow it in PLUS loans or by some other means.
In other words, you can’t do this without their cooperation. And, I’m guessing that they haven’t offered that cooperation or you wouldn’t be here right now looking for some ammunition to support your desire to study at Cornell.
Go to UVA. You can get where you want to be by starting out there. And, since you won’t graduate with debt, if indeed you don’t get a job right out of college, you will be free to “chill in DC” until you do. If you would find yourself without a job after Cornell, with that level of debt there would be no chilling at all. You’d have to take whatever job you could come up with the second you found it.