This is a really cool idea, and I had a few ideas if you wanted to make this really fun and interactive.
-if the interest is high enough, have more than one "league" and maybe have a different draft for each game/mode tourney at apex (1-2 for each tourney).
-instead of picking your players in the draft, and then winnning based on overall placement at the tournament, you could pick your team, and then during each round/day you pick 1-2 people you think are going to place well, and gain points on that. the points don't have to be simple win/loss, but you could gain points based on the type of win/or kills you get (eg you would gain 5 points if your player killed someone with an edgehog, and 3 if they killed someone with an ice climber chaingrab (not sure which one is harder, just making it up), and then very little points if the match timed out, or if there was an sd), maybe factoring in player skill.
-if it is fun at apex, we could make this a year long league, where you play your players at all the major/national tournaments. although not all your players might go to every tournament, this could be a strategic element (do i want a really good player who only goes to a few tournaments a year, or a decent player who goes to a lot of tournaments every year).
these are just a few ideas i had, and i volunteer to help with organizing this if it is needed.
either way, count me in.
=)