A benefit from Shaykh Abdul Hameed Al Hajooree that Qiyaam is better to pray right after Isha. He mentions Imaam Ahmed was asked regarding praying at the end of the night. Imaam Ahmad replied by saying that the beginning of it is the Sunnah of the Muslims.
Also Shaykhul Islaam relayed a consensus that the taraweh prayer is after Isha. Similarly, Shaykh Fawzaan mentioned similar (as many of the scholars say Taraweeh and Qiyaam are one thing as clarified by Imam Albani)
Also Umar Bin Al-Khattaab, when he gathered the people to pray taraweh, he did so after Isha
The narrations that have come regarding the prophet sallallahu alaihi wassallam praying Taraweeh make one feel as if it was after Isha such as the narration of An Nuaman Ibn Basheer and Abu Tharr, but the shaykh mentions if one wants to pray it at the end of the night, it is not rejected upon him
Majid Jawed Al-Afghanee