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Thats what they make those clip on sounders for. Clip it to the hook or line just above hook and send it to the bottom. Mark the Dacron line at the depth you want minnow and set the Tipup at that point. Pull line up remove the sounder and replace with minnow. For sending the Minnow down faster pinch on a split shot a foot or two above hook.
I use a sounder sinker to find botton and have a small button on the tip up line to mark bottom, you slide the button on the line once bottom is found to mark it. It is a simple set up that works great for a quick re set.