The reaction to the Resurrection Challenge from all sides was very interesting to watch. The challenge itself was to take every single detail and try to organize them in a sensible fashion.
This is what I noticed from those who said that the accounts could be harmonized: many addressed the list of discrepancies and explained how everything could be accounted for, or linked to some sort of answer. But that wasn't the challenge, and when trying to organize the questions themselves, discrepancies popped up. For example, the Gospels kind of give four different 'times' in the appearances, which can be harmonized by saying it was within fifteen minutes of each other. The Gospels had different people first showing up, which was harmonized by saying that they could've shown up at different times. Individually, this works. According to the Gospels, this doesn't, because if the four different times given all occur within fifteen minutes of each other, then the women couldn't have shown up at different times.
I also noticed that very, very few people who claimed inerrancy actually attempted to organize every detail themselves. There were either links posted, or the attempts given that didn't have all the details. But these were from the same people that said answering the challenge was easy or had been done before -- but very few actually attempted to do so on his/her own. As far as I've seen, one person actually posted the answer to the challenge in full, and another said that s/he is working on it.
Overall, I don't think the Gospels can be harmonized, and I think it does them a disservice to try to. There are accounts where people have posted harmonizations. But when I go back and read each Gospel while taking that harmonization into account, the individual Gospels lose something in terms of the flow or the emotional impact, or what's being inserted doesn't make sense within the Gospel itself.
But that's only my two cents. :)