Yeah, that's certainly one way of doing it--I'm a huge fan of Edgar Rice Burroughs, although I always thought Pellucidar and the Land that Time Forgot settings were among his weaker ones.
Actually, in my original draft, they travelled from world to world in ancient space barges that travelled via some kind of quantum jump across the space-time continuum--a vague kinda hyperspace equivalent. These space barges were literally millions of years old, and their discovery was purely accidental. Nobody knows if that's what they really were intended for, but it's a use that by trial and error they were able to discover and utilize.
I liked the idea that I could bin this as some kind of science fiction rather than purely fantastic escapism. I also really liked the idea of the pilots of these barges only barely understanding the merest fraction of what they were capable of and going through the motions almost ritualistically because they didn't know enough to deviate from them and go exploring beyond the preset settings.
I do like your idea of having competing organizations trying to stake claims and corner potential resource markets here, though--corporate armies and pirates (privateers?) as a potential recurring antagonist is nice. Especially if there's a strong possibility of incredibly ancient alien ruins to discover and plunder. That gives me the opportunity to create an almost pyrrhic Weyland-Yutani type slimey agenda.