There's no set procedure because obviously everyone's set up is different, climate, number and ages of birds, etc. But yes I think you're over cleaning.
I'm the exact opposite as far as brooder cleaning. I don't clean the brooder at all while I have chicks. Because I brood out in the run (which is deep litter), I do this:
Of course I check and refill water and feed daily/every other day, as needed, and shake any poop off the mama heat pad (I wrap it in Press n Seal so dried poops fly right off). Chicks get handled and checked for pasty butt at least twice a day, but I'd rather play with them than clean.
I'm the exact opposite as far as brooder cleaning. I don't clean the brooder at all while I have chicks. Because I brood out in the run (which is deep litter), I do this:
each day, then about once a week, week and a half, I drag my brooder to a clean spot of litter. My hens come and kick around the previously soiled area and "clean" it up for me.what I sometimes do to stretch cleanings is just stir the bedding up. That way the poop goes down into it and fresh shavings come up.
Of course I check and refill water and feed daily/every other day, as needed, and shake any poop off the mama heat pad (I wrap it in Press n Seal so dried poops fly right off). Chicks get handled and checked for pasty butt at least twice a day, but I'd rather play with them than clean.