Many believe Jesus was born in the late summer or early fall... during Sukkot, or Feast of Tabernacles
I'm well aware of this, but that's simply impossible for more than one reason (I'll quickly address one of them).
Every Jew was required to be in Jerusalem three times a year, and the Feast of Tabernacles was one of those times.
Exodus chapter 23 (Amplified Bible)
14 Three times a year you shall celebrate a feast [dedicated] to Me.
15 You shall observe the Feast of Unleavened Bread; for seven days you shall eat unleavened bread, as I commanded you, at the appointed time in the month of Abib, for in it you came out of Egypt. No one shall appear before Me empty-handed [but you shall bring sacrificial offerings].
16 Also [you shall observe] the Feast of Harvest (Weeks, Pentecost, or First Fruits), acknowledging the first fruits of your labor, of what you sow in the field.
And [third] the Feast of Ingathering (Booths or Tabernacles) at the end of the year when you gather in [the fruit of] your labors from the field.
17
Three times a year all your males shall appear before the [a]Lord God.
Joseph, who was a Jew, would have never been in Bethlehem on the Feast of Tabernacles because he was required to be in Jerusalem at that time.
There's also this to consider:
Luke chapter 2
[
1] And it came to pass in those days, that
there went out a decree from Caesar Augustus, that all the world should be taxed.
[
2] (And this taxing was first made when Cyrenius was governor of Syria.)
[
3]
And all went to be taxed, every one into his own city.
[
4] And Joseph also went up from Galilee, out of the city of Nazareth, into Judaea, unto the city of David, which is called Bethlehem; (because he was of the house and lineage of David)
[
5] To be taxed with Mary his espoused wife, being great with child.
[
6] And so it was, that, while they were there, the days were accomplished that she should be delivered.
[
7] And she brought forth her firstborn son, and wrapped him in swaddling clothes, and laid him in a manger; because there was no room for them in the inn.
Had Caesar issued this decree at the timing of the Feast of Tabernacles, there would have been a major Jewish uprising because, again, all male Jews were required to be in Jerusalem for this feast. Caesar's decree required that every one return to his own city to be taxed which would have required multitudes of Jews to be somewhere other than Jerusalem at this time.