Where the night prayer actually sits
Once the morning is anchored, the night prayer has an obvious place, and it is the tradition's own placement rather than a compromise.
The sound reports put the descent in the last third of the night, and the Qur'an calls the night prayer nafila, additional, which is a word doing legal work that a scholar can explain better than we can. Both of those put qiyam at the end of a night that has already happened, not at the front of one that never will.
In practice that means the same fixed rising time, moved earlier on the nights you intend to pray, and then not moved back on the nights you do not. What it does not mean is going to bed at midnight, getting up at three, and staying up.
Qur’an and Sunnah
وَمِنَ ٱلَّيۡلِ فَتَهَجَّدۡ بِهِۦ نَافِلَةࣰ لَّكَ عَسَىٰٓ أَن يَبۡعَثَكَ رَبُّكَ مَقَامࣰ ا مَّحۡمُودࣰ ا
and dur-ing the night wake up and pray, as an extra offering of your own, so that your Lord may raise you to a [highly] praised status
Qur’an 17:79
Narrated Abu Huraira:Allah's Messenger (ﷺ) said, "Our Lord, the Blessed, the Superior, comes every night down on the nearest Heaven to us when the last third of the night remains, saying: "Is there anyone to invoke Me, so that I may respond to invocation? Is there anyone to ask Me, so that I may grant him his request? Is there anyone seeking My forgiveness, so that I may forgive him?
Sahih al-Bukhari 1145graded sound, sahihaynfull report
Translation: M.A.S. Abdel Haleem, The Qur'an, Oxford University Press, 2004.