I'm totally against losers/winners brackets. It's contradictory with word 'knockout'. I remember when I play first time in K tournament, head-to-head round was fully tension, one lost and you are out. In K5 I didn't fear lost because I know that I will play in losers bracket still, not fun.
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Next thing that players hide scores until last minute

I have proposal here too. 2 proposals. Round has 7 days. Day 3 and 6 can be bonus days. What bonus? Percentage bonus to final score in day 7. Bonus in day 3 = 5%, in day 6 = 10%.
First proposal is global for all players can be used for non head-to-head rounds and/or for head-to-head rounds, second is for head-to-head rounds only.
Examples.
Proposal 1:
Example
Player 1 score in day 3 = 100 points (bonus = 5%)
Player 2 = 40 points
Player 3 = 20 points
Player 1 score in day 6 = 120
Player 2 = 100
Player 3 = 200 (bonus = 10%)
Then for Player 1 bonus is 5%, Player 2 - 10%.
Final scores (after day 7) are:
Player 1 = 200
Player 2 = 150
Player 3 = 250
Now we must add bonus for players 1 and 3:
Player 1 = 200 + 5% (5% from final score, not from day 3) = 210
Player 2 = 205
Player 3 = 250 + 10% = 275
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Proposal 2:
Example
Player 1 play against Player 2
Player 3 play against Player 4
Bonuses are for pairs.
Player 1 score in day 3 = 100 points (bonus = 5%)
Player 2 = 40 points
Player 3 = 20 points
Player 4 = 80 points (bonus = 5%. Score is higher than opponent - Player 3)
Player 1 score in day 6 = 120 (bonus 10%)
Player 2 = 100
Player 3 = 200 (bonus = 10%)
Player 4 = 120
Then for Player 1 bonus is 5%+10%=15%, Player 3 - 10%, Player 4 - 5%.
Final scores (after day 7) are:
Player 1 = 200
Player 2 = 150
Player 3 = 250
Player 4 = 260
Now we must add bonus for players
Player 1 = 200 + 15% = 230
Player 2 = 150
Player 3 = 250 + 10% = 275
Player 4 = 260 + 5% = 273
Then Player 2 lost and Player 4 lost too.
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Maybe it looks a bit confused but really it is very simple.