La Mole is very limited for Commercial ops, a CJ certainly can't operate CAT there, a Mustang is also on the edge. I think Globe Air doesn't go there anymore after safa checks.
A PC12 or TBM is your best bet for a charter, still not many on an AOC though. Get1Jet or Hendell are common at La Mole
Maybe Synergy with a King Air can do it if they have qualified pilots as La Mole needs local training for every pilot