Draft a team with a Gold QB, a Gold WR, and a Bronze WR so that you can tackle multiple Achievements in the same game.
Set up a game with quarter lengths and difficulty level that suit your skill and confidence. When in doubt, Easy and 15 minute quarters will give you plenty of time.
Call nothing but pass plays, dumping to your Gold WR on the Flea Flicker for big gains, then using shorter slant routes or post patterns if the deep passes aren't connecting or getting batted away by a tough defender.
Keep at it and you should easily be able to rack up the 555 yards you will need to set the game record with your QB. The Achievement will unlock after the game is over and your user profile is saved.
Additional Achievements:
If you've used a Gold QB, you will also unlock the Golden Arm Achievement for passing for 500 yards.
While you're racking up the passing yards, keep hitting your Gold WR until he has over 337 yards receiving, and you will unlock the Game Record Receiving Yards.
Once your Gold WR has passed 337, start hitting your bronze WR with passes exclusively. If you get him over 150 yards, you'll also earn Two For One, and if you get him over 200 yards receiving, you'll also unlock Over the Top.
All the Achievements will unlock after the game is over and your profile is being saved.