I highly recommend a recumbent bike. I personally would never have considered touring when I rode a "wedgie" bike because it was just so hard on my wrists, back, neck, rear, etc. A recumbent solved all those problems for me and made pedaling all day seem like a reasonable thing to do.
On the other hand, people ride across the US on upright bikes all the time, and you're going a tiny fraction of that distance, so comfort may not be as big an issue. Just my 2 cents (US) worth. Good luck!