Basically all our data suggests that men commit more crime than women across the boars like the original poster said. I don't necessarily disagree with your comments about bias in data, but your final conclusion I don't think is accurate:
I strongly believe that we don't know if men commit more crime than women. I think it's plausible that it could be true...
Sure I don't think we know this with 100% certainty but it is much more than plausible, it is with a high degree of confidence true. If all of the data points to one conclusion I don't think it is very fair to throw your arms up and say there could be bias everywhere, show that there is bias across the board and then let's try to account for the bias. I don't even think you have shown there to be bias.
You also state
women are effectively undercounted if we're talking about who commits more crime
This conclusion I don't see proven in your analysis, racial bias does not equal gender bias and it's quite a jump to use that as evidence. Also we have more data than just who is caught or who is sentenced, there are surveys asking if you have ever shoplifted (sure these need to be take with a grain of salt), there's data about the suspected gender of a perpetrator of crime when it is initially reported. Etc. Etc.
It is a very important thing to keep in mind statistical data is not infallible and in some cases only slightly useful (self reported surveys). But if you take all that into account and look across the board we can be rather confident men commit more crime than women. Not 100% but probably 90%+
You introduce the possibility of bias but don't really prove there actually is that bias in any data sets. This argument feels dangerous in the opposite direction of what Donna Haraway is warning about, you have taken weaknesses in the entire category of statistical data to throw their conclusions out entirely without having specific reasons to.