If these were fictional accounts, it would be the easiest thing in the world to have Jesus appearing directly to the male disciples, instead of this weird two-step process in which first the women discover the tomb, and then Jesus starts appearing to people (just to whom, and in what order, varies from one source to another).
Sure, the point might be to reinforce the theme of Jesus doing the opposite of what he would be expected to do, and yes, there’s plenty of OT precedent for that. But it isn’t, as far as I know, a theme that anyone particularly emphasized except where reality forced them to. From a skeptical point of view, this common Biblical theme would be an attempt to adjust to disappointed expectations. We think that if YHWH is a powerful god and has made a covenant with us, then the city will never falls. The city falls. Oops! That shows that YHWH is even more powerful than we thought–so powerful that even the Babylonians are instruments in his cosmic plan.
We thought that the return from exile would lead to a glorious restoration, better than anything we had before. Actually it leads to hundreds of years of sort of puttering along, often under pagan domination. Oops! This shows that God’s plans are more long-term than we thought, and that there will be a final restoration inaugurated by the Messiah.
We thought that the Messiah would defeat the Romans and set up a glorious kingdom. Oops! the guy we thought was the Messiah got crucified. That shows that God’s plan for the world is so profound that he redeems the world by death, and overcomes death by resurrection.
If God did that, we’d think that Jesus would appear to his leading male disciples. Oops! Actually the first report was brought by women. Well, that’s just part of the pattern established so far.
My point is that these “oops” moments were consistently imposed from outside.
Yes, it’s possible that Mark, seeing the pattern, would invent a story in which women saw the tomb first. But it doesn’t seem very likely.
In the end, with the resurrection, we face the old Sherlock Holmes choice: impossible vs. improbable. A lot of us find Sherlock Holmes’ answer to be, well, improbable.
Edwin