Hamada: A type of desert landscape consisting of high, largely barren, hard rocky plateaus, with very little sand because this has been removed by deflation. -- From Wikipedia
Desert: A region defined by arid climate, little rainfall and supports only sparse and widely spaced vegetation or no vegetation at all. -- Dictionary.com
Polar Region: Also known as Earth's frigid ones, are the regions surrounding it's geographical poles. These regions are dominated by Earth's ice caps. -- From Wikipedia
In a sleep deprived state, I've managed to place a hamada desert immediately adjacent to a coast in the polar region of my world, as well as a river (opposite the the northern coast, filtering in from the western coast and slightly below the polar region), and a series of mountain ranges. After getting some rest, I've found that I rather like the overall look of this arrangement, but I am wondering as to how plausible this would be. Currently I am using the work of Erwin Raisz (Cartographer best known for his physiographic maps of landforms. March 1st, 1893 - December 1st, 1968) as a reference while I work out the map, attempting to emulate his style and detail.
So, just how plausible is it to have a hamada situated between two glaciated mountain ranges, in a polar region? Are there any real locations that could be used as an example?
Visual References For anyone who is interested.