I know you think that. I know it is tradition for you to think that. The bible certainly states that the dead are not dead but the idea that they can hear our requests is not there. The idea that they can intercede for us is not there.
There is no passage in Scripture which specifically says that Christians enjoying eternal life can intercede for Christians who are living in this world.
Of course, there is no passage in Scripture which says they cannot.
What Scripture does say is as follows:
(1) That the faithful can intercede for others - i.e. offer up prayers on their behalf. cf. Stephen's prayers for his persecutors, Abraham's prayer for Abimelech, etc., etc.
(2) Scripture also says that the saints in heaven offer up prayers to God. cf. Revelation 8.
(3) Scripture also says that the Church is one, cf. John 10 and
(4) that believers make up the body of Christ, cf. 1 Corinthians 12 and
(5) that the sign of Christian unity and identity is mutual love, cf. John 13, and
(6) that nothing can separate us from the love of Christ, cf. Romans 8.
Given this Scriptural evidence, St. Jerome - a cherisher of the Bible if there ever was one - drew the inference that since (a) both the faithful departed and the living faithful are part of the same Church, (b) that they all had the ability to pray for one another in life, (c) that eternal life with Christ does not weaken or diminish the faculties of the faithful departed at all, but strengthens them and that (d) the saints in heaven pray then it makes eminent good sense that the faithful departed can listen and respond to our brotherly requests for intercession.
So Scripture does authorize intercessory prayer. It does assert that the saints pray. It does assert that the Church is one body.
The one piece of the puzzle that is not explicitly there is that the saints can hear us.
Catholics believe that the mutual love in Christ which Christians share with the glorified saints makes this feasible.
Others perhaps believe, with St. Jerome's interlocutor Vigilantius, that the saints in heaven are somehow less capable in their glory rather than more.
Catholics believe that this does not follow the logic of Scripture, which teaches that the glorified state of eternal life is superior in all respects to earthly life.
1 Thessalonians 4:13-18
13. Brothers, we do not want you to be ignorant about those who fall asleep, or to grieve like the rest of men, who have no hope.
14. We believe that Jesus died and rose again and so we believe that God will bring with Jesus those who have fallen asleep in him.
15. According to the Lord's own word, we tell you that we who are still alive, who are left till the coming of the Lord, will certainly not precede those who have fallen asleep.
16. For the Lord himself will come down from heaven, with a loud command, with the voice of the archangel and with the trumpet call of God, and the dead in Christ will rise first.
17. After that, we who are still alive and are left will be caught up together with them in the clouds to meet the Lord in the air. And so we will be with the Lord forever.
18. Therefore encourage each other with these words.
NIV John 11:11-15
11. After he had said this, he went on to tell them, "Our friend Lazarus has fallen asleep; but I am going there to wake him up."
12. His disciples replied, "Lord, if he sleeps, he will get better."
13. Jesus had been speaking of his death, but his disciples thought he meant natural sleep.
14. So then he told them plainly, "Lazarus is dead,
15. and for your sake I am glad I was not there, so that you may believe. But let us go to him."
In other words, when saints are alive, and on earth, they love their brothers and sisters in the Lord, and pray for them. When they die, and go to glory, they are in the presence of God-Who-is-love, who loves every one of his children so much He died for them ... so what do they do? Why, obviously, utterly united to Perfect Love personified, they stop loving their brothers and sisters on earth and stop praying for them.
Makes perfect sense. Not.
If that's where your reading of the Bible leads you, I think Catholic tradition has you beat. It's logical and self-consistent, because it holds that saints in the presence of Perfect Love love their brothers and sisters on earth more than they did on earth.
But the problem isn't in the Bible. It's in your reading of the Bible, because the Bible teaches that the saints in heaven intercede for those of us on earth. Read the first few chapters of Revelation again, because it's in there.