Take a look at Turneffe Island Resort, Belize. Pretty sure you'll get what you want. You could try Cayo Espanto if you really want to be pampered. 

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I wouldn't have too much trouble agreeing...I've experienced very few places as good as French Cay. Especially when you factor in ease of accessibility from the States. I've never been to LCBR though.In my not-so-humble opinion the best diving in the Caribbean is in Turks & Caicos
Seeing creatures not found in the Caribbean is exactly the point for many people, or at least part of it. Biodiversity is simply much higher in the Indo-Pacific than the Caribbean.As for going to the far side of the world, I have heard folks say that once you dive Indo or the Philippines you'll never want to go back to the Caribbean. I didn't find that to be the case at all. I loved diving there and I saw a lot of things I don't see in the Caribbean but I was not blown away by it. I think sometimes people feel that way because they are seeing creatures they have not seen by just diving the Caribbean. It's great and I will go back but the Caribbean has a lot to offer and the ease of getting there is hard to beat.