Southeast Missouri has a lot of cattle around, not like where you are I don't guess but several. Some small backgrounders, lots of small cow/calf, a few bigger type cow/calf in my area but not too many. I probably only know of four with over 400 momma cows.
I am at approximately half capacity now. 20 head on a 200+ acre farm that's probably 130ish in pasture. I obviously don't have to intensive graze now, but some guys around here do. This farm has no rocks, unlike an area to the nw of me that is mostly rocks and steep hills (Zalma area). My grandpa ran 35-40 here and never went off the farm for hay, so in an average year there is no problem with the place supporting that many head. So, 1:4 ac and making hay off of part of it, with plenty to spare. He was conservative, as am I, in that I would rather have fewer head yearly than have to scramble for high priced hay in a year that was below average in rain, or the rare army worm infestation.
I have had some tell me that it is not efficient to do that, that I could be (eventually) run 60 or more on it, but the ones telling me that seem to be the ones belly aching about having to buy hay, or worse, find it.
I figure my weather and yours is similar. Winters can get cold and bad with Jan and Feb normally being the worst. Spring's wet, Summer is hot and dry (normally), Fall is beautiful days, cool nights, perfect for calves and grass.