I also don't want the best way to play the game be some cheesy stealth exploit.

And the surprise alpha strikes.. the initial attack should be the "surprise" round. It's ridiculous you get another full round and then if you win initiative you get a THIRD round before the enemy can react to anything. How many attacks would an 11th level Fighter get in before the enemy gets to do anything in this "system"? 7 attacks. And that's before Action Surge and Haste. And don't forget the fire dip in a candle either. A dual wielding Thief Rogue with some " extra bonus action" build would probably get 25 attacks including sneak attack and poison damage in this skillful homebrew. And then you get the time stop effect the OP mentioned on top for other stealthed party members.