I will be so upset if they go to 3 on 3...
If the NHL wants less shootouts, then they should remove incentives to go to overtime in the first place. That means get rid of the 3 point games, and the point system all together. You win or lose and that's it!
They should also make overtime longer. Five minutes of 4 on 4 is stupid as it is, and too brief. I would want 10 minutes of 5 on 5 and then 10 minutes of 4 on 4, and if it's still tied, fine. Shootout. That's just me though... could also do 5 and 5 minutes if they don't want four hour games.