I don't know if this will eliminate tanking really, but why not keep the first round as is, but then rounds 2 - 7 do it in reverse order. So the Stanley Cup champs get pick 31, 61, 91, etc., runners up pick 2, 3rd picks 3rd and so on. That way you aren't necessarily punishing teams for being bad, but you're also not doing them any favours by making them wait 60 or so picks before they pick again.
Trades also become more interesting... suddenly Cammy to a contender for a prospect and a second round pick doesn't seem all that bad.
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