Eureka! I have found it. The cover is made by Suntek, 9335 Stevens Road, Santee, CA 92701. 888-834-0764.
I had to order it, however, through the RV Shop @ 877-249-8571. You can see the covers on their website, www.rvshop.com
The specific cover is a Suntek Shurgrip Dash Cover Class A. You can talk to them and order the specific cover for a specific year and model of Alpine.
They aren't cheap, at $214.95 + $15 Shipping, but it is really slick and makes the dash a useful place to put things that won't slip around. My unit for a '05 36' mid-door is pattern #1273, and I ordered it in tan and it is a perfect color match. They also have a couple of other colors.
A side note: The RV Shop and Suntek were excellent to work with, as they originally sent me the wrong pattern and they quickly corrected the order and sent a UPS call tag to send the original one back. No hassles, and everything went very quickly.