Get rid of very low and very high cards first.
If the lowest of the last cards in a row is high, pick a card below it but as high as possible.
Always consider the possibility that someone picks a card that is lower than the lowest of the last cards. What row will they pick?
If you get 3 or more of the cards in the 100s and high 90s, don't play the highest first. If you are lucky enough you might be able to "lock" one row for yourself; use it when you need to escape a tough choice.