The current draft game mode for LoR right now is Expeditions, but I think that due to giving cards in buckets it often leads to worse versions of constructed decks instead of truly unique decks. 

My draft mode mode work like this: first, the player chooses 3 Regions out of an offered 5, then they are taken to a separate empty collection and given 65 random cards from each region and 9 Wildcards (that can be used for any rarity). This separate collection and wildcards would not transfer over to the player’s real collection. Then, the player would build a deck of 40 cards with those 3 Regions, using the random cards that they got as well as cards they crafted with the wildcards. After each victory or defeat they receive 2 Wildcards (to a max of 10) and they can adjust their deck. The run would end after 6 victories or 2 consecutive losses, and a second run can be taken after the first one (just like expeditions). The mode could either be played with an entrance fee and then give rewards based on victories, or be played for free with no rewards. 

The point of this mode would be to offer interesting deck building challenges for players, as they would have to change their strategy based on which regions and cards they receive, and use Wildcards to refine their decks. I’m not sure about what the exact numbers of Wildcards and Random cards given should be, but it could be adjusted to an optimal amount that doesn’t lead to too consistent decks.