Have you discussed the finances with your parents? What do they say?
Were you recruited by any other Ivies? Would you qualify for FA at any of those? Cornell will match FA from Ivies, MIT, Stanford, Duke based on recruiting contact. So if the Princeton NPC suggests you’d receive aid, and you had some recruiting contact there, you’d be able to get that package from Cornell. There’s a form for this.
And if you wouldn’t qualify for FA at even the most generous Ivies, then perhaps the financial aspect isn’t as big a concern for your parents as you think?
Cornell engineering is very strong and tough to match both in terms of academic strength and career opportunities. It isn’t easy and it’s cold up there in the winter but presumably you’ve looked at all that.
Agree with @Mwfan1921 that the old model of headcount sports and full rides is changing.
How much time do you have to decide?