I've built lots of chicken housing and I'm definitely not in the group that recommends no drafts. Every building I build has much larger open windows than the one before. I'm convinced that is the reason I've never had a respiratory illness after thousands of chickens. My last 2 buildings have huge openings covering nearly 1/3 of both east and west walls that allow the prevailing wind to blow right through at roost height.
Eliminating drafts is essential for baby chicks but not for adults.
The way I look at it, chickens can and do live in trees with no ill effects. How do you keep a draft out of a tree?
Free range chickens spend the day outside rain or shine and sometimes with extreme wind. I'd call that drafty.
I think the poultry pet class of people has perpetuated the myth of no drafts.
Red Jungle Fowl survived a millennia living with drafts. A few thousands of years of chicken husbandry didn't involve isolating chickens from 'drafts'. I don't believe there is a reason to do so now.
I don't know where you live but if you aren't in Alaska, Wyoming, northern Minnesota or similar climate, I would cut the largest holes in your walls that still makes for structural integrity and cover all openings with 1/4" or 1/2" hardware cloth. They will breath easy.