Thought about doing a split shot on #6 or 4 EWG hooks with 2or 3” Kieteck.
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Not many manufacturers make EWG hooks that small. But I bet winter perch and Crappy would be interested.
Beautiful thing about split shot is you can put them anywhere you want.
Weighted hooks are a thing, so if they don't make the sizes or type you want, then you can certainly make them yourself.
I can see the wire others have suggested working better, being better distributed. But a split shot would work in a pinch and may be better if you want the weight more forward or rearward to make a rig nose up or nose down.