In reply to El Greyo:
I love the handling of my X-E1 and the image quality is very good. I haven't used it climbing yet, partly because it's been so wet, but it works OK with (thin) gloves and the principal controls are readily accessible without having to dig deep into the main menu. I haven't used it much in program mode, but the results so far seem OK, so that bodes well for climbing use when circumstances don't allow (semi-) manual use.
X-E1 or X-E2? The firmware updates make the E1 a good alternative to the E2, especially if the budget is tight.
Batteries? Depending on how you use the camera and how you set it up, 2 batteries for 2 weeks would be cutting it fine, I think. And the battery use indicator doesn't work in the user's favour either.