Well - it’s going to depend on what you mean by “hard evidence”…And it will somewhat depend on which bible canon you are referring to.
But here are some things that might help
I Corinthians 3:10-15
10 According to the grace of God given to me, like a skilled master builder I laid a foundation, and another man is building upon it. Let each man take care how he builds upon it.
11 For no other foundation can any one lay than that which is laid, which is Jesus Christ. 12 Now if any one builds on the foundation with gold, silver, precious stones, wood, hay, straw—13 each man’s work will become manifest; for the Day will disclose it, because it will be revealed with fire, and the fire will test what sort of work each one has done. 14 If the work which any man has built on the foundation survives, he will receive a reward. 15 If any man’s work is burned up, he will suffer loss, though he himself will be saved, but only as through fire.
Here Paul speaks of a cleansing fire, i.e. a purging, at death…and where one might lose some of his works but still be saved. This is neither heaven or hell - but a purging - hence the concept of a place (not heaven and not hell) called Purgatory where this purgation occurs.
The most definitive evidence of the reality of Purgatory is found in 2 Maccabees 12:44-46. In this passage Judas Macabee and his men had found, in the bodies of their fallen comrades, “tokens of the idols of Jamnia, which the Law forbids the Jews to wear.” As a result, “they turned to prayer, beseeching that the sin which has been committed might be wholly blotted out…for if he were not expecting that those who had fallen would rise again, it would have been superfluous and foolish to pray for the dead…Therefore he made atonement for the dead, that they might be delivered from their sin.” This passage shows the practice and attitude of the Jews before the time of Jesus. They PRAYED for their dead and still do today.
cegguam.org/node/73
Now - depending on which bible canon one uses - the above can be said to be hard evidence from Scripture - or one can say it is not…

But all Bibles prior to the reformation had Maccabees in them - so for my money the above is Scriptural.
Further references…
Lk 12:58-59; 1 Cor 3:15; Mt 5:25-26 … temporary agony.
Heb 12:6-11 … God’s painful discipline.
Mt 12:32 … no forgiveness … nor in the age to come.
1 Pet 3:18-20 … might be purgatory (limbo?).
1 Pet 4:6 … preached to the dead.
Rev 21:27 … nothing unclean shall enter heaven.
Heb 12:23 … souls in heaven are perfect.
Col 1:24; 2 Sam 12:13-14 … “extra” suffering.
2 Mac 12:43-46 … sacrifice for the dead. (not in Protestant Bibles)
2 Tim 1:15-18 … prayer for Onesiphorus for “that Day.”
1 Jn 5:14-17 … mortal/venial sins
Hope this helps.
Peace
James