I've been to LYB 3 times last year, once shuttling between LYB's biggest beach resort and its smallest, McCoy's Dive and Fishing Lodge. I've cycled the island many times, and have been to most all the dive operations. I've since stayed with McCoy's for 3 reasons: home style living with a true Cayman local which includes many funny stories once you can get them to open up, absolute freedom in diving my profile, and a beach front dive to Bloody Bay wall.
If diving's your thing, McCoy's is the best shore based liveaboard approach to diving Little Cayman. It is not the Hyatt, Mariott or a Motel 6. Its really like someone's home with extra rooms. The lodge is near maxed out at 7-8 people, and their boats comfortably fit 16 divers ... so there is rarely a crunch. In the 3 times I was there, I was the only diver in half the 10 days visits, and the most I dove with was 8 divers. I could go anywhere!
Sam's operation will let you dive as much as you can tolerate. They supply only air, and their diveshop can do rudimenatary gear repair, so come fully self sufficient. They have running water, continuous electricity and airconditioning.
Bloody bay wall is a shore dive via McCoy's beach which is not easy because of sea urchins and a shallow barrier reef, or a very short drive west to a better beach entry at Jackson's Point, or Sheer Wall's beach [ a McCoy property], or the only dock in the island at 1/4 mi east. You can take tanks with you and park them on the beach, and explore all the way into night dives. I run 100 min dives per tank, and dove 2 boat dives in the morning, 1 in the afternoon and 1 at night. This covers from 8AM to 8pm daily, with the day over at about 11pm. I'd pack lunch and water, and eat breakfast and dinner at the lodge.
The food is Cayman, actually Cayman Brac, that means two carbohydrates in each meal, choose a pair: rice, potatoes, pastas; fruits in there too Spanish stype, and meat or fish as the main dish. You can have any type of meal cooked as you prefer, but within the limits of the chef's abilities. I eat everything! But if you have specific dietary restrictions, you will need to supervise the cook closely.
The swimming pool is more a jacuzzi without the jets, but its perfect for rinsing out after a dive. If you want to swim, go to the beach, or to Point of Sands, at the very west end. All the water is via reverse osmosis or rain water, so I'm happy there is little extravgance in water consumption and waste, even at the bigger resorts.
I do 170 dives annually, to technical depths and gases. I've previous been to Statia, Grand Cayman, St. Maarten, Turks & Caicos, and South Florida. Little Cayman is best to date. Weak current pulls to shore, wall starts at 15' and drops deep, temperature is stable through the depths, and visibility is typically 100+', and at worse, 50-60' [ when the seas churn, and boats cannot move in and out of the island, you can sneak dives at hidden spots the locals showed me, were the vis is stellar and stable enough to enter and exit Bloody Bay.]