My wife and I walked from Swansea to Conwy once, when we lived in Dolwyddelan. I really liked the idea of walking home, so I would go W-E. And you'll have the prevailing wind at your back.
PS - The last day of our walk, from our house in Dolwyddelan to Conwy was a real treat. We abandoned the heavy packs, and just took light daysacks, and galloped over the hills as if we had wings!