Sure, there’s plenty of little known and undoubtedly exotic islands to visit. But I don’t think you can get much better than this. Krakatau is an island near Indonesia that’s actually just a few decades old.
A massive volcanic eruption destroyed its “mother” in 1883. Around the early part of the 20th century, it was reborn in another eruption. In the last few months, it’s become active again, so there’s been some warnings to stay off the island.
Anyways, there’s a travel agency specializing in volcano tours that promises to take you there, and lets you camp. What’s amazing about the island is that life is popping back up–it’s like watching the Galapagos in its early days. Here’s more info about the 3-day tour.