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I'm not well versed on YEC arguments, but I believe people's frustrations with them is not due to the lack of universally compelling arguments against them. Probably they're already guilty of plain old logical inconsistency (i.e. there's a valid chain of reasoning that shows that if they doubt the scientific estimates, then they should turn off their television right now or something similar), or they possess some kind of "undefeatable" hypothesis as prior knowledge that allows for everything to look billions of years old despite being very young. (If so, they should be very much bothered by having this type of utopic prior knowledge.)
Well, if they're logically inconsistent, but nothing you can say to them will convince to give up YECism in order to stop being logically inconsistent... then that particular chain of reasoning, at least, isn't universally compelling.
Or, if they have an undefeatable hypothesis, if that's literally true... doesn't that mean no argument is going to be compelling to them?
Maybe you're thinking "compelling" means what ought to be compelling, rather than what actually convinces people, when the latter meaning is how Eliezer and I are using it?
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To illustrate: Suppose you're checking the lottery results online, and you see that you won, and you're on your laptop at the house of a friend who knows what lottery numbers you buy and who has used his wi-fi to play pranks on guests in past. Suddenly the evidence doesn't fare so well against that million-to-one prior.
This reminds me of reading about the Miracle of the Sun (http://en.wikipedia.org/wiki/Miracle_of_the_Sun) in The God Delusion and in a theist's response. I found Dawkins fairly unpersuasive; the many agreeing testimonials weren't enough to overcome the enormous prior improbability, but they were still disconcertingly strong evidence. The theists' response cleared this up by giving historical background that Dawkins omitted. Apparently, the miracle was predicted in advance by three children and had become a focal point in the tensions between the devout and the secular. Suddenly, it was not at all surprising that the gathered crowd witnessed a miracle.
So I'd agree that miracles often have probability of under one in a million, but it's also vitally important to understand the effect of motivation on the likelihood of the evidence. If I thought every testimony to every reported miracle was based on unbiased reporting of fact, I'd have to conclude that many of them happened (caused by aliens messing with us or something).
Craig is just purposely conflating the likelihood of a particular result and the likelihood of given the declaration of a result by the lottery officials, that result being true.
If you and I are flipping coins for a million dollars, it's going to take a lot of convincing evidence that I lost the coin flip before I pay up. You just cannot flip the coin in another room where I can't even see, and then expect me to pay up because, well, the probability of heads is 50% and I shouldn't be so surprised to learn that I lost.
Therefore, the actual likelihood of a particular set of lottery numbers is totally irrelevant in this discussion.
In any case, the only kind of "evidence" that we have been presented for miracles has always been of the form "person X says Y happened', which has been known as hearsay and dealt with without even bothering with probability theory.