Lewis goes on in Letter 3 to advocate against setting (or being stuck) one's chief prayer right before going to sleep. Of course, Lewis' argument is appropriate. One should pray when best able to concentrate.
Of course, traditional Jewish prayer occurs thrice daily, as done by Daniel, morning, afternoon and evening. The Talmud forwards two ancient parallels to this: the daily sacrifices (morning, afternoon, and then finishing up all the sacrifices at night), and the prayer of our forefathers each of whom instituted one service. But even if one were not to follow this regiment, I'm at a loss as to why people in genearl, Lewis included, would not simply pray first thing in the morning. This would enable them to pray for their 'daily bread' right away before starting, and it would be the time where one is most refreshed.
I really don't have much else to add here because to me this seems kind of obvious. Wake up a bit earlier and build prayer into your schedule right away.
Anyway, there's a bit more to this letter that relates to the position one adopts during prayer (and further discuss of the place of prayer). We'll talk about this, but I think underlying all of these issues (time, place, and position) there exists the question of communal prayer. We touched on this before, but it probably soon needs to be brough to bear on all of these issues.