I tried, but they were actually able to make the total price less by using a Ford Credit finance incentive, so I paid for it in 3 months and still came out on top. They told me to take 3 months to pay for it so Ford Credit wouldn't pull the financing. Apparently this goes on regularly.
We've replaced two cars in the last year and wrote checks both times. I would have financed if there was a deal that made it worth my while, but that wasn't the case on either car.
If you're unknown to the dealership they can always call your bank to check your account. The dealership will take your check.
The last car I purchased, I was offered a 0.0% loan over 5 years with nothing down. So instead of paying cash up front I took the loan. No hassle as it is all automated and electronic.