Come At Me Bro
You could stipulate that you only want a max of 1 or 2 players per set. Omer managed to do it (I realize not too many were in that league but I'm basing this idea in part off of that.Problem with that is it's hard to build a team that way. What if you somehow land 2 "superstars" and spend most of your budget when you were planning on only getting one? Doing multiple bids at once can be really messy. Say we get a $200 budget and I bid $80 on Anthony Davis and $70 on Curry and land both and now I have $50 to get the next 11 roster spots. I realize that's part of it but it makes it very hard to bid on multiple guys not knowing who you are or are not going to get.
I think auction draft would need to be live, but I agree that an offline draft is the much better way to go since this is a keeper league.
I'll probably create a poll for the type of offline draft format, and hopefully it's the last poll I have to create.