I voted planet view looking down simply because ground view looking up is what we already know; we're all stuck on the ground looking up already (admittedly not up at a space elevator, but still) so that seems familiar. I've not seen alot of space elevator renders so I don't really know what's already out there. However, given the option, I would have voted for something in between looking out at the stars, or maybe the rings of the planet you are approaching/leaving. Not sure exactly how to make that work so that the context is still apparent (ie, you can tell it is a space elevator vs a spaceship) but... I leave that to you! My 2¢. I vote for Other.
If you wanted to do something REALLY unique, how about a shot looking up from the base AT NIGHT! You'd probably have a string of navigation warning lights on the beanstalk and these would make it visible even after the structure disappeared in the distance. Or.... OOO! OOOO! Cool idea! A shot just before sunrise, with the sun illuminating the upper part of the stalk while the base is still wrapped in night??!?!
If it's a 3D scene you're building then you can render it both ways with only minimal postwork. But I must admit I don't like making clone-works so I would say it would look grander from the ground looking up as it fades off into the sky