A Hawk supersonic run was done at least once on TV.
Bang Goes the Theory presenter Dallas Campbell flew in the 'ASTRA' Hawk (XX341) in 2010 with Rhys Williams (Tutor with ETPS),the inside stuff was filmed in the ETPS Heli Hangar (can't remember bldg number) next to the old Control Tower.The Mach run was done over the Brizzle Channel I believe.
There is even a very brief view of my best side out on the flight line during pre taxy Flying Control Checks
Starts at 6.50