This Biblical Timeline was created using passages from the Brenton's 1851 Septuagint (LXX). The timeline is anchored on a date of 586 BC for the destruction of Solomon's Temple. The Brenton verses are actively linked to the Studybible website.
Dan, I don't know if you are aware of this, but check out this passage from Ezekiel:
"Thou also, son of man, take thee a tile, and lay it before thee, and pourtray upon it the city, even Jerusalem: And lay siege against it, and build a fort against it, and cast a mount against it; set the camp also against it, and set battering rams against it round about. Moreover take thou unto thee an iron pan, and set it for a wall of iron between thee and the city: and set thy face against it, and it shall be besieged, and thou shalt lay siege against it. This shall be a sign to the house of Israel. Lie thou also upon thy left side, and lay the iniquity of the house of Israel upon it: according to the number of the days that thou shalt lie upon it thou shalt bear their iniquity. For I have laid upon thee the years of their iniquity, according to the number of the days, three hundred and ninety days: so shalt thou bear the iniquity of the house of Israel." -- Eze 4:1-5 KJV
According to your chronology, the time from Solomon's death to the destruction of the temple was 981 - 586 = 395 years. If we assume that the years of the king's reigns were not all full years (for example 24 years 8 months, rather than 25, and etc.), there is likely enough overlap to whittle that number down to 390 years, which is the time (in days) that Ezekiel bore the iniquity of the house of Israel. This is John Gill:
"Verse 5. For I have laid upon thee the years of their iniquity, Or the iniquity which for so many years they have been guilty of; that is, the punishment of it: according to the number of the days; a day for a year; three hundred and ninety days; which signify three hundred and ninety years; and so many years there were from the revolt of the ten tribes from Rehoboam, and the setting up the calves at Dan and Bethel, to the destruction of Jerusalem; which may be reckoned thus: the apostasy was in the fourth year of Rehoboam, so that there remained thirteen years of his reign, for he reigned seventeen years; Abijah his successor reigned three years; Asa, forty one; Jehoshaphat, twenty five; Joram, eight; Ahaziah, one; Athaliah, seven; Joash, forty; Amaziah, twenty nine: Uzziah, fifty two; Jotham, sixteen; Ahaz, sixteen; Hezekiah, twenty nine; Manasseh, fifty five; Amos, two; Josiah, thirty one; Jehoahaz, three months; Jehoiakim, eleven years; Jeconiah, three months and ten days; and Zedekiah, eleven years; in all three hundred and ninety years. Though Grotius reckons them from the fall of Solomon to the carrying captive of the ten tribes by Shalmaneser. According to Jerom, both the three hundred and ninety days, and the forty days, were figurative of the captivities of Israel and Judah." [John Gill, Ezekiel, "John Gill's Old Testament Commentary." Grace E-Books, Eze 4:5, p.55]
Matthew Henry includes those of the northern tribes who escaped captivity and joined with Judah under a decree by Hezekiah:
"The 390 days, according to the prophetic dialect, signified 390 years; and, when the prophet lies so many days on his side, he bears the guilt of that iniquity which the house of Israel, the ten tribes, had borne 390 years, reckoning from their first apostasy under Jeroboam to the destruction of Jerusalem, which completed the ruin of those small remains of them that had incorporated with Judah." [Matthew Henry, Ezekiel, "Henry Commentary Vol IV (Isa to Mal)." Christian Classics Ethereal Library, 2000, Eze 4:1-5, p.1107]
The decree:
"So the posts went with the letters from the king [Hezekiah] and his princes throughout all Israel and Judah, and according to the commandment of the king, saying, Ye children of Israel, turn again unto the Lord God of Abraham, Isaac, and Israel, and he will return to the remnant of you, that are escaped out of the hand of the kings of Assyria." -- 2Chr 30:6
"For a multitude of the people, even many of Ephraim, and Manasseh, Issachar, and Zebulun, had not cleansed themselves, yet did they eat the passover otherwise than it was written. But Hezekiah prayed for them, saying, The good Lord pardon every one That prepareth his heart to seek God, the Lord God of his fathers, though he be not cleansed according to the purification of the sanctuary. And the Lord hearkened to Hezekiah, and healed the people." -- 2Chr 30:18-20 KJV
"And all the congregation of Judah, with the priests and the Levites, and all the congregation that came out of Israel, and the strangers that came out of the land of Israel, and that dwelt in Judah, rejoiced. So there was great joy in Jerusalem: for since the time of Solomon the son of David king of Israel there was not the like in Jerusalem." -- 2Chr 30:25-26
Your timeline may actually be no more than a year off, Dan. The John Gill footnote states,
"the apostasy was in the fourth year of Rehoboam", who was Solomon's successor.
LXX