I've seen all three of those, and they're (for the most part) pretty enjoyable to various degrees on their own merits. But I think there's more to mine from the concept than the surface that those three movies scratched the surface of, and I think moving the action off of Earth could be key to that.
There's actually a Predator comic that uses a similar setting (albeit, on Earth) that I quite dug, Hell & Hot Water.