Interesting thought deimtee!
If the Dead Sea were filled to sea level, the basin would pull about 20.6 cubic miles from the oceans (86 cubic kilometers). 11 mm of sea rise in the past twenty years (per the article) is 50 cubic miles per year. So filling the Dead Sea would sadly only mitigate 5 months of glacial melting at current rates. The Dead Sea basin is rather small (~80 square miles at sea level, -1388 feet), so let's look at the vastly larger, by surface area, Caspian Sea (143,200 square miles, or 1790 times larger).
The Caspian Sea is only -92 ft below sea level, but it's really big. If its basin is filled to sea level, it could hold an additional ~3170 cubic miles of water by my rough calculations (which include the Garabogzakoi Basin and Volga Delta regions which would be inundated by the sea rise). That translates to ~63.4 years of glacial melt storage at current melt rates. NOT BAD AT ALL!
Do note that the city of Baku (2.2M residents), which is officially at -92 feet, would lose it's entire downtown region and Astrakhan, a city of 520,000, would be entirely submerged. So there's that...
-BigWu