I finally got a car mount for my Lumia 1320.
Bracketron Grip-iT Model PHW-203-BL
I got mine at Best Buy on sale for $16.99.

I have it attached to my windshield. The mount works really great and holds the phone very securely even down some of the bumpiest roads in Houston. The suction cup so far shows no signs of letting go. The holder can be rotated 360 degrees and can also be tilted.
I haven't tried attaching it to the dash since it has a "leather" texture rather than being smooth.

Here's the link to it:
Bracketron, Inc PHW203BL - Best Buy