Usually the 2'-3" fur doesn't trim down to a full nap thickness.
The 1" Luxury Shag does trim down nicely.
http://www.fabric.com/SearchResults2...3-26a376046a5e
Call Punky Muppet here and is the same manufacturer.
http://www.mendels.com/fur2.shtml
The Mongolian hair is the next nicest to it but you can't shave it down past 1" as it will show gaps.