That's an excellent post.
Those who regard the Bible as infallible have never been able to reconcile the two accounts plausibly, given the Quirinius issue.
Also, to add to your commentary on the likelihood that the Pastoral Epistles are forgeries, 1 Corinthians 14:34-35 is likely also a forged passage, added by a later scribe to support the gender roles proscribed by the Pastoral Epistles. Examine the passage:
"Let your women keep silent in the churches, for they are not permitted to speak; but they are to be submissive, as the law also says. And if they want to learn something, let them ask their own husbands at home; for it is shameful for women to speak in church."
No one disputes that Paul wrote 1 Corinthians, but this passage in particular appears suspicious. Firstly, examine the wider context of the passage.
"How is it then, brethren? Whenever you come together, each of you has a psalm, has a teaching, has a tongue, has a revelation, has an interpretation. Let all things be done for edification. If anyone speaks in a tongue, let there be two or at the most three, each in turn, and let one interpret. But if there is no interpreter, let him keep silent in church, and let him speak to himself and to God. Let two or three prophets speak, and let the others judge. But if anything is revealed to another who sits by, let the first keep silent. For you can all prophesy one by one, that all may learn and all may be encouraged. And the spirits of the prophets are subject to the prophets. For God is not the author of confusion but of peace, as in all the churches of the saints. Let your women keep silent in the churches, for they are not permitted to speak; but they are to be submissive, as the law also says. And if they want to learn something, let them ask their own husbands at home; for it is shameful for women to speak in church. Or did the word of God come originally from you? Or was it you only that it reached?If anyone thinks himself to be a prophet or spiritual, let him acknowledge that the things which I write to you are the commandments of the Lord. But if anyone is ignorant, let him be ignorant. Therefore, brethren, desire earnestly to prophesy, and do not forbid to speak with tongues. Let all things be done decently and in order."
Why would "Paul" revert from a wider discussion of prophecy in the Church to randomly remark about the role of women in the Church for a few verses, and then go right back to a discussion of prophecy in the Church?
Moreover, in several Greek and Latin manuscripts, verses 34 and 35 are shuffled around to different portions of the text, some inserting the passage after verse 40.
Hence, it is unlikely that it is an original portion of the Bible.