Rent a car on the east coast of the United States

I am visiting the United States later this year. I will arrive in Boston and spend a week in Virginia for an accelerating race event, via Maryland and Washington DC.

The second week, I want to return to Boston via Philadelphia and New York.

I'm afraid that the vehicle will become a hindrance during the game in New York and that a "cool car" has an exorbitant price, since I'm under 25 years old.

Is it feasible?