What's the correct play when someone gets a fast eternity?
Don't play creatures to avoid draw lock
What happens if you have an empty field against a time barrier, even if opponent doesn't have draw power?
It gains a charge every turn
Not gaining a charge when drawing at start of turn seems the best course of action. It'd also tone down Time Barrier in double draw decks. Since drawing cards occurs at the end of your opponent's turn, not the start, an easy way to implement this would be to not proc when it isn't the owner's turn. This would also stop gaining charges if opponent uses innovation offensively or uses SoBr