Here's an interesting thought....
In past events, you had to pick one out of the three chests/rings/whatever that were presented to you at a time, so while you might have a preferred non-Daily, non-Grand prize you preferred, be that KP, or troops, or whatever, and you would take that whenever offered, but you wouldn't always have that as an option.
But here, you can trash offers you don't want. So, if you aren't that desirous of Grand Prizes, or of particular Dailies, but instead have an interest in one of the 'regular' random prizes, you can attempt to exclusively accept offers that include that sub-prize. And possibly attempt to be pickier still and only accept desired offers with low-cost recipes...
Now, because of the delays when you trash an offer, if you're going to focus on this strategy, you probably need to start early. This version of the game lasts 20 days, so if you don't sleep, that's 20 days * 24 hours * 2 30 minutes * 3 offer slots = 2,880 offers that you can delay. If offers occur equally randomly, then I would be declining 11 offers out of every 12. If I can only afford to accept 100-200 Offers, that suggests I would need to decline 1,100-2,200 unacceptable offers. This suggests, for an Elvenar lurker, who can check in every half hour for most of the day for the whole event, this might be a workable strategy. If you are willing to accept 2 or 3 of the offers, this suggests this is really doable, and that you might even be able to exercise some discretion as to the costs of these offers.
Given my miserable luck in this current event at attempting to Reroll my way into winning a not-today's-Daily Daily, I'm pondering focusing my efforts on Extraordinary Request #1 and it's 10% chance at Pet Food. Not knowing the costs, or the odds at different costs, I can't make a guess at expected number of offers one could accept. If there is any similarity to past events, ,maybe I could hope to afford to accept that offer about 100 times if it's expensive, maybe closer to 200 if I can get it cheaper. At a 10% chance at Pet Food, that could give an expected 10-20 Pet Foods, maybe more, maybe less. Maybe Uncommon Request #2 for the 10% 2 Combining Catalysts, or Rare Request #3, with 22% Mana and 22% Seeds (and 14% 3 Lucky Draws, although I don't know how much to judge this as being really desirable.) Those look interesting to me, but fighters might be interested in troop instants or Vitality Surges, while others might want those AWKPs.
If Beta players could try and collect some good statistical numbers, it would be interesting. Whether they do or not, I would recommend anyone attempting this to pay close attention to the behavior over the first day or two and adjust your choices and recipe pickiness accordingly.
Interesting, interesting...