Answered by Shaykh Sohail Hanif, SunniPath Academy Teacher
If someone has years of qada salawat to make up would it be permissible within the Hanafi madhab to do ones qada’s after the fajr salat before the sun rises and after ‘asr salat before the time becomes makrooh to pray?

Imam al-Shurunbalali mentions in the Section on Disliked Prayer Times in Nur al-Idah that there are three prayer times that in which ones prayers which had been made mandatory on one before these times entered are rendered invalid.
They are:
1. While the sun is rising,
2. When its at its zenith,
3 . And when setting.
The current Asr prayer is valid (f: and obligatory if not yet performed) while the sun is setting, though delaying until that time is prohibitively disliked.
As for prayers after the fajr and asr prayers before the rising and setting of the sun respectively, only supererogatory prayers are disliked. Make ups offered in these times are valid and there is no sin incurred thereby. [Based on Maraqi al-Falah]
And Allah knows best.
Sohail Hanif [& checked by Faraz Rabbani]
Amman, Jordan.