First, I'd look at whether I could mail some blades ahead for someone to keep for me (and that includes a hotel where I had a reservation). If there wasn't time to do that, and I didn't want to spend the time at my destination trying to find decent DE, SE, injector, whatever, blades, I'd just bring my Atra.
I have two of the old, decent quality, Atra handles. CVS "Pivot Plus" cartridges are less than 50¢ each if you buy a 20 pack. They shave, well, pretty well if you use soap and brush rather than "canned goo".
"He broke and ran, not from cowardice, but from private inclination." - R.A. Lafferty - "One at a Time".