Alright let's go full nerd here and suggest, not a lottery but an auction!
Use the reverse rankings to distribute credits. Teams then go around picking a draft eligible prospect and then set the minimum bid. Starting with champion on down each team has one chance to bid. The team who original set prospect price can match any outbid offer.
This makes the draft more difficult to game. On paper a bad team should get more draft talent, buy only if the can value talent smartly.
No more bad first round picks, just bad team bidding. Presumably the worst team would get a consensus number one since they'd have the most credits, except any team could trade their credits to any other.

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