If you are playing with the standard limitation on CSA divisions, you will have all of your allowed divisions in the field some time by late 62 or early 63. What to do then to fill out those corps?
I like to recruit those big Virginia brigades which have 4 infantry regiments, a cavalry regiment, and two artillery batteries, and attach any available brigadier to them, and think of them just like a small CSA division. In fact, at around 5000 men apiece, they are just as big as many CSA divisions were historically, about the same size as Pickett's division at Gettysburg was.
The big KY and TN brigades are almost the same size, but have only one artillery battery.
So, to my mind, the division limitation in the game is only a limitation on the 'big' divisions, but the player can still recruit small 4000-5000 man divisions.