With all due respect, I prefer what Paul said:
We are confident, I say, and would prefer to be away from the body and at home with the Lord.
2 Corinthians 5:8
The idea of God being omnipresent and therefore in hell is from Augustine's Confessions. And it is wrong. The very concept of hell is the fact that it is apart from God -- it is shut away from Him. It is the forever outside. This picture is given over and over again in the Bible.
You quoted Psalm 139 and the KJV and NKJV use of the word 'hell' in verse 8. That is a wrong translation. The word in the Hebrew is the word we know as 'sheol', and it simply means 'the depths' or 'world of the dead.' It has nothing to do with punishment and is simply the opposite of being alive on earth. The rough translation for our time would be something along the lines of "if I commit suicide I cannot escape You."
Your quote of Ezekiel does not help, for to die spiritually means to be separated from the Lord and the soul that sins will be separated from the Lord. Paul gives the NT explanation of that in Romans 7.
That the immortal soul which has been born again goes directly to heaven upon death is biblical. First of all Paul stated that to be absent from the body was to be present with the Lord. Where is the Lord right now, for those dying before the Rapture? He is seated at the right hand of God. The third heaven of Hebrew understanding is the Throne of God.
Consider, please, that the earth you and I know will not exist at the end of the age we are in. As Peter says in his second epistle: "But the day of the Lord will come like a thief. The heavens will disappear with a roar; the elements will be destroyed by fire, and the earth and everything in it will be laid bare [or, in some mss, 'burned up]. Since everything will be destroyed in this way, what kind of people ought you to be? You ought to live holy and godly lives as you look forward to the day of God and speed its coming. That day will bring about the destruction of the heavens by fire, and the elements will melt in the heat. But in keeping with his promise we are looking forward to a new heaven and a new earth, the home of righteousness."
2 Peter 3:10-13
About this new creation, we find that heaven and earth seem to merge as the dwelling of God will now be with men. In Revelation 21:27 we read, "Nothing impure will ever enter it, nor wil anyone who does what is deceitful, but only those whose names are written in the Lamb's book of life."
You see, the impure have not vanished, disintegrated...they are forever outside, left out.
We read Christ's words in Revelation 22:14-15
"Blessed are those who wash their robes, that they may have the right to the tree of life and may go through the gates into the city. Outside are the dogs, those who practice magic arts, the sexually immoral, the murderers, the idolaters, and everyone who loves and practices falsehood."
They have not become unconscious. They are not annihilated. They are very much there. But, they are eternally separated from God, not having a relationship with Him. This is eternal death. It is the opposite of eternal life, which Christ defined in John 17:3 as knowing the Father and the Son.
And it will take all of eternity to know Him.