Just my .2 cents, you never see flooring put down in alternating directions, or at least I never have. I know I would never buy a house or install my own that had that. The idea behind this wood flooring is to simulate the real stuff, so might as well make it look as close to it as possible. Running it up and down (as your picture sits) would make the most sense, in the end will be the easiest to work around when you come to those doorways too. Do yourself a favor and don't skimp on the plastic padding material that goes under the flooring.
Go ahead and run clown, with those big floppy shoes, you won't get far.