This is going to be tough, especially if you don't want to spend any money on packs. Once you get to around Division 3, almost every team you face will be loaded with legends and special cards. If you're like me and started late, even playing a perfect game may not be enough sometimes.
Offensively, make sure to put all your wingers on their off-wings, as well as your defenders. This opens up more one-timer options, which is the best way to score this year. The second best way is to glide across the middle and snap a wrister across the goalie. A good play if you're having trouble finding space in the middle is to pass the puck back to the point, and pass it again to your other defender and aim the one-timer far side. This isn't as powerful as in previous years, but still goes in occasionally and may create rebound/deflection opportunities.
Defensively, you have to try to avoid the chances I mentioned in the previous section. As your defender, keep opposing wingers to their backhand. Don't let them cut to their forehand and shoot. The poke check is still your best tool, but you need to make sure that you are getting the puck and not the skates, as it's a penalty almost every time this year. For cross-creases, hold down
(Vision Control) and position your defender between both opposing players. The stick lift is useful in some situations where you are parallel with the opposing player, but I rarely use it this year.
For goaltenders, it's a complete crapshoot. Regardless of the overall numbers, any goalie is capable of stealing a game or ruining it for you. From my experience this year, I've had my best success with tall goalies. I used both Rinne and Dubnyk, and they were much better for me than others. Try to stay away from the alumni goalies, as a lot of them are under 6 feet tall and are stand-up goalies.
Getting the best players will be a massive grind, as the easiest way to get them is the milestone challenges. You can do this offline against casual CPU, but that would bore you out of your mind. Try to get centers with high faceoffs, and try to complete synergies. Alumni players are great for this, since they have two synergy styles. Bronze players have 3, but from my experience it's not worth shoving them on your team as they are a liability.
Around Christmas time will be the best opportunity to get this achievement. The game will be filled with "Christmas Noobs", meaning that you may see less stacked teams overall.