Answer: Your plan is a good one. As long as you keep the bucket full, there will be enough pressure for the water to flow down to the drip sprayer. When the timer comes on, the sprinkler head will probably drip at first and then as the pressure increases, it should change to a fan patterned spray. If not, you'll need a smaller sprinkler head so the pressure will increase behind the head and result in a fan spray.
What a clever idea!
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