I'd use it for leverage first, and see how that goes. If no dice, id walk and leave a number in case they reconsider.
After a few days, i'd line up the 220 mile drive. I wouldnt want to do it multiple times, but id do it to close a deal and drive home with the car.
I look at it like this: the IRS says that using a POV costs 55c/mile. IMO, it is a bit less, as some things are sunk costs, but let's use that value. A 440 mile round-trip would cost you roughly $242 based upon the IRS data. So, youll still be coming out ahead.
Much longer than that drive will likely become a major time commitment, and more has to be put in thought-wise. That said, it still isnt a deal-breaking idea. Say you drive 1000 miles, or 2000 miles, perhaps you can align it with a vacation. Youre getting your transportation, going someplace new, and will be building good memories and experiences. Not a bad payback, and in reality, the $1k saved would offset the vacation costs.
TO get the car I wanted, I recently went cross-country! Turned it into an adventure!