First of all, Daze states that "whenever this creature makes an attack..." which immediately implies that sweeping, doublestrike, triplestrike, and counterstrike would all have separate rolls because they are all attacks.
Also, I have read quotes from the codex such as this:
Creature is disoriented and/or blinded. Whenever this creature makes an attack, roll the effect die at the end of the Declare Attack Step. If the result is 7 or higher, the attack is resolved normally. If the result is 6 or less, the attack “misses” its target and skips to Step 5 of the attack sequence (Additional Strikes). If it makes a Zone Attack, only check once: the entire attack either fails or succeeds normally. If a creature has more than one Daze on it, roll only one time to see if the creature misses. In addition, the Dazed creature suffers a -2 penalty to all Defense rolls for each Daze marker it has. All Daze markers are removed at the end of the creature’s Action Phase. Daze has a removal cost of 2. Conjurations cannot be Dazed.
My personal codex does not have the bold quote in it regarding skipping to step 5. If one were to skip to step 5, then sweeping would be superseded and fizzle, but this does seem right to me. Is sweeping handled similar to Battle Fury, and based on the wording, aren't all attacks of any kind subject to an individual Daze roll?
Sweeping states: "...Start a new attack with the Declare Attack Step..."
Double and Triplestrike state: "...these/this attack(s) occur during the Additional Strikes Step."
Step 5 Additional Strikes states: "...each additional strike is resolved, one at a time, following these 3 steps: Avoid Attack, Roll Dice, Damage and Effects."
Daze States: "This is normally done at the end of the Declare Attack Step, but if the attack skips that step,
then roll as soon as the attack begins."
You do check for every separate attack regardless of how that attack is initiated while a creature is dazed.
As for skipping to Step 5 making Sweeping fizzle, I don't think that is true. Sweeping states: "The second attack occurs at the end of the attack sequence from the first attack. Start a new sequence beginning with the Declare attack Step."
So you should if affected by daze, skip to step 5 then finish the attack sequence and then start a new one.