The other solutions are not bad, but I recommend this setup, with some tips.
Your team: West All-Stars. Their players are faster overall than the East All-Stars.
Opponent team: New Jersey. For this achievement, what is most important is having an opposing goalie that is easy to score against. Not only is New Jersey a poor team overall, their starting goalie is rated a 46, the lowest in the game. Most goalies are at least 60.
Like everyone else recommends, offsides, penalties, and line changes off.
Once you are under 2:59 in the 3rd, down a goal and pull your goalie, if you shoot and the CPU goalie saves it, immediately crowd their goalie with your player. This will force a face-off in the attacking zone, which is better than allowing the goalie to pass to a player that could shoot or pass towards your empty net. Of course this strategy is most viable if you then win the ensuing face-off.
For scoring with the extra attacker (or any time), don't always just rush the net with your player the first chance you get, unless you get a wide open breakaway. You are usually better off waiting for help to arrive and trying to setup a one-timer. If the one-timer isn't there and you have a clear shot on goal, slapshots can be successful (hold the shoot button instead of tapping it). And sometimes on a rebound you have to just crash the net and pray.
One additional tidbit, if the game goes to overtime, you must score in the overtime period (unless you happened to set the game for playoff instead of regular season). If the overtime period expires and the game is still tied, the game will simply end in a tie. This did not occur to me the first time I successfully forced overtime when attempting this. I just thought it would be like a playoff game where overtime goes on forever until someone scores. Good luck! This can be a frustrating one but with enough practice I'm sure you can knock it out eventually.