Mobico
Sorry this may sound harsh but the ends don’t justify the means. I’m not on the level to give a shiur and I respect you for that but at the end of the day you can’t take on responsibilities that you can’t keep. If giving the Daf means that you can’t keep halacha 100% then stop giving the Daf or Reorder your schedule. Its a chillul Hashem for a Maggid shiur not to be listening to chazaras hashatz concentrating and answering properly. If you can get your hands on the sefer Oilas Tomid on tefillah take a look at the section on chazaras hashatz.