Thought I would give the lottery overall a try. Feel free to tear it apart.
Teams are awarded draft pts as follows
Lottery 100
1st round PO loss 80
2nd round PO loss 60
Rest 40
Draft rules:
Teams barter draft pts for players, highest pts wins
Picks are announced by the highest points bid
In case of a tie, teams have 2 minutes to rebid. If still tied, most regular season losses wins the tie
If a team does does not win a pick, their pts return to their pool
Teams have five minutes after each round to re-evaluate their bids
Once a team is out of draft points they are done with the draft
Non-lottery teams can't pick before 16 unless by trade or no bids are presented by Lottery teams
Draft lasts for 60 picks or there are no more bids
Players can be traded for draft points
Unspent draft points can be rolled over to the following year
So basically an auction system - that's definitely thinking outside of the box.
It's not clear whether you're proposing that teams bid for a pick or bid for a player. Presumably they would bid for a pick, so the first "item" up for auction is not "Marquelle Fultz" but it's "Pick #1 in the draft". Another question is whether teams winning picks would then select their player immediately or if player selection would occur after the picks are all assigned. It seems like the bids are blind, but in that case I'm not sure you really want a re-bid, just break the tie immediately. And I think you may have meant to say that non-lottery teams can't pick before 14 (the number of lottery teams) unless a lotto team hasn't bid (that might cause some intrigue, because a fairly low bid could win the 14th pick).
There are a couple of other questions, such as how many years would points roll over (just one, or indefinitely?), if there is a minimum number of points that must be spent (can a team just decline to bid at all in a weak draft and have a dominating hand the next year?), and whether or not there's a limit to the number of picks a team can acquire in a single draft.
But this is interesting. I'd have to think about whether it would do a good job of both removing the incentive to tank and correcting competitive imbalance. My initial thought is that while the point payouts you describe would de-incentivize tanking, there isn't much correction for competitive imbalance. But it's worth thinking about.