I'd suggest you use a mild engine to get the car straightened out. You can get yourself in big trouble and I don't mean with the local authorities. You might find yourself in the weeds with an engine that the car can't handle.
500, even 450 horsepower is capable of making things happen in a big hurry and with skinny tires you may not be able to control any of it.
The skinny tires will get no traction and you'll tire of that very quickly especially when someone with much less engine blows you away because they can get it all to the ground. Wouldn't that be embarrassing?