We stayed at Stonefield Resort, at the base of the Pitet Piton and I highly recommend it. It's much cheaper than Jalousie, you get your own private villa w/pool, yet all the villas have a common restaurant. And it's a 5 minute free shuttle to Jalousie's beach. The views and sunsets can't be beat.

www.stonefieldvillas.com/

And here's the link to my photos. Check it out!
Part 1:
http://www.kodakgallery.com/gallery/...3%3A1470296531

Part 2:
http://www.kodakgallery.com/gallery/...3%3A1958681494

It may not be as easy to get around road wise, but there is so much to do right by the pitons you don't really need to rent a car. We took the free shuttle to town, to the rainforest tour, to the drive through volcano, botanical gardens, as well as to Ladera for dinner and Jalousie's beach. We took a 5 minute water taxi ride from Jalousie's beach to Anse Chastenet for lunch and for the Anse La Raye Friday night fish fry (not to be missed).

I don't think you would be disappointed. Everyone is so friendly too!

Is this question limited to the Caribbean? What I think sounds like it would fit is someplace in Indonesia or Thailand maybe?

I'd spend a feww days on Saba - the jewel of the caribbean - for diving, hiking and the most spectacular scenary....then I'd head to Anguilla for the beach experience.....best of both!