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".
“Of the uncertainties of our present state, the most dreadful and alarming is the uncertain continuance of reason.” Samuel Johnson