Solid Phase Extraction (SPE) with elution by a small amount of Hexane and then direct injection into a GC. See Waters, Phenomenex, Restek, and Agilent websites.
You will need to 'spike' the Hexane with a small amount of an internal standard (ISTD) that is similar to Benzene so you can calculate a % Recovery. Drying down Hexane is a 'pain' and will highlight the massive losses of Benzene occuring during the drying process.