I couldn't imagine getting ready in the morning at Field Training without an electric razor. Bring one. You have almost no time in the morning before PT, but you still have to be clean shaven. Electric dry shaving might not be the best shave in the world, but it gets the job done. You will always have access to outlets so don't worry about that.
Long story short: Bring an electric razor.
Long story short: Bring an electric razor.