Lectio Divina, like other times of prayer, should (ideally) be of the “first fruits” of our time–when we are most alert and focused. It may be that you need more preparation–especially simplicity of life to free up some time for God and for your spiritual nourishment. Remove what gets in the way of God! If you need rest, that may have to come first–but don’t neglect Lectio, even if you have only 10 minutes to do it regularly. It’s not so much about the quantity of time as the focus and consistency.
It can also help to schedule in a consistent time for prayer and Lectio. That helps our spirit to get ready–much as we sleep better and more quickly if we prepare for bed about the same time every or most nights. Similarly, it helps to set up a shrine or oratory in our home–even if it’s just a corner with a chair, our Bible, and perhaps an icon or religious picture, or a candle to light. That serves many purposes: as a reminder of prayer each time we pass it or see it, as a ritual element to get us “in the mood” when we go there, plus the effort put into establishing it tells us this is an important, even essential, part of our life.
In general, Lectio Divina is to read in depth–don’t try to get a certain amount read each day, but read a brief passage and let it speak to you. It may take ten years, or more, to get through the full Bible. So what? Better to take the time and dwell with God and listen to God’s Word speaking in your life than to hurry through like a tourist and miss the wonders. And re-reading is also wonderful–I am constantly surprised by how much more there is in a passage that I was blind to earlier.