I looked up your TC in Manheim. 11k is about right, and maybe even on the side of slightly generous for the end of the model year. $12,000 is too high IMO.
Residuals are not negotiable in a close-ended lease, which is what dealers offer. As you can see, fiddling with mileage allowance only makes $300 difference in residual after three years. In order to get an appreciably different residual, you will need to change the length of the lease or find an aftermarket bank on your own. Frankly, you do not sound like you are up to the task of finding an aftermarket bank on your own, which is fine. I know what I am doing and honestly would not bother for myself.
Someone who works for VW will need to chime in here, but I highly doubt that there is $60-$90 per month in rate being held back in a .00017 MF, which is about a market bank rate. I think you're just looking at the wrong car at the wrong time based on your financial goals.
How much longer do you have until the TC expires? Do you have a buyout option? I honestly would give some consideration to buying out the TC, especially if you live in a tax credit state, and try shopping again during sign and drive season. Or is this a situation where your need for a couple grand in cash is forcing you to make a car transaction?