You kno, there are many online forums dedicated to the manly art of the classical wet shave? Badger and Blade comes to mind.
I shaved wiith my great grandfather's solid brass injector when I was a kid and then descended into displosables. Now I enjoy my shaving ritual a great deal, ten minutes of zen every morning, and I have treated myself to some nice tools for the job including a Merkur double edge razor, several dozens of international blades and a selection of exquisitely luxurious shaving soaps rom England, USA, Italy and Scotland.
But when I'm on a bike tour I usually take my rechargable electric. If I knew I'd be unable to recharge it, I'd instead take my whole kit but I'd use a lighter razor and probably forego the badger hair brush and steel mug. Shortcutting the pleasures of a proper shave to save a few ounces by using inferior blades and razors would be a shame.