If you specifically want to dive at Tiger Beach, I believe Epic Diving does it from Grand Bahama as a day trip.
Tiger Shark Diving: Tiger Beach Grand Bahama Island - Epic Diving
So does Reef Oasis at the Wyndham Viva Fortuna resort.
Diving with Tiger Sharks & Caribbean Reef Sharks | Grand Bahama
If you just want stunningly clear water, Grand Caymans North Wall is so clear they warn you to watch your depth as there's nothing in the water to judge by. Cayman Brac or Little Cayman are said to be better. Turks & Caicos is another place where we routinely saw large pelagics 2-300' below us clearly.
Bonaire is also exceptionally good since there's no riviers so no run-off and they protect the marine reserve since it's their livelihood. All small stuff there - no large pelagics to speak of.