The hanafi method is wrong and you should follow the Shafee method or Umm AlQura calculations

I have moved to Pakistan from Saudi and the prayer timings here are confusing and weird. Instead of following the local masjid can I follow the timings on the fajr clock? (for fajr- the masjid gives Azan at around 5:30 am but according to fajr clock it’s at 5:08 am) And for asr the Hanafi method is followed by the local masjid, can I follow the shafii method?