There isn't really an easy method of getting this achievement. I'm sure it is possible to boost as I saw others attempting that last year, however I feel it would take a lot longer to achieve going down that road.
Honestly, the best method for winning in the draft is to make sure you have 100 chemistry, even if that means placing high rated players on the bench. The teams that had 100 chemistry played a lot better.
Try and stick to one league when choosing your players otherwise you may get stuck without the players you need in certain positions causing the chemistry to drop and certain players not performing well at all.
Bench players are also key, it's always a good idea to have some decent players ready to come on just incase your player is injured or tired. Having Ronaldo come on in the 80th minute with fresh legs could win you the game.
I'd say to stick with a formation you're familiar with, obviously that's not always possible as its randomly chosen but don't go with 3 or 5 at the back if you're not comfortable using it.
Finally don't worry about the 15k entry fee, I pretty much made my money back from each draft, successful or not. I started with 230k when going for the achievement, after 11 attempts I ended up with 270k. If you preordered you should receive 5 draft tokens (1 a week for 5 weeks).
I know its not much but there aren't a lot of ways around winning all 4 games. You just gotta get lucky with your team and have at least some experience playing online.