Sigonella - Tripoli 280nm = 40 mins
Luqa - Tripoli 195nm = 27 mins
Sigonella or Luqa - Benghazi 330nm = 47 mins
Souda Bay - Benghazi 280nm = 40 mins
Oh that's awkward, can't use any of those.
As for nobody using a carrier, apart from Charles De Gaulle on her way.