PCs on a stick are available but I think commandeering a screen, internet, and keyboard might be a chore. If you were going to a hotel room it might work with a foldable keyboard and a portable mouse, but not with hiker's accommodation. We are so close to having a laptop shell for a smartphone that works. Motorola tried with Atrix. Samsung has a Dexx workstation adapter which is close. Sentio has announced one for Android, but hasn't shipped it. Then there was the failed Canadian kickstarter project called Casetop. The newest one of these projects is the Mirabook.

I think you might be best with a cheap Chromebook that you don't care about with your data on a thumb drive that you keep with you.