How many acres, did you state that you may need to dig, to plant all of them ? If you follow the link article...between , at least a minimum of (one foot deep, at bare minimum,) to three feet deep , for each peony, in order to attain even better, growth ? (Not forgetting, to mention, the width, of each hole.)
I suppose, if you did 50 in spring, & 50 in every autumn, it wouldn't tire you out, too much, as opposed to 100 each fall. & get them planted, mulched & watered...But, if you plan on 100 each year, so you may reach a thousand in ten years time, will you still feel like digging those holes & be ready to still "divide them & replant", in ten years time from now, so you may double that amount ? You may be ready, able, & willing to do it all now, but what about in ten years time, later, on?
Oh, did I forget to mention, in hot & humid climates, they can be prone to blossom blight, Botrytis, or tend to get powdery mildew problems, if too rainy, etc.. I really do wish you good luck, on your project idea, but all I'm trying to say, is, that it just may not be so easy, as simply "dividing peonies" in your thoughts & all the work, involved, such as bending to "cut flowers" when they bloom ( don't dare get ill, at that time !) plus remove all the foliage each autumn, also.
I don't want to discourage you , too much..But, what I'm saying is, , it really involves, quite a bit of work, when you'd want to retire !
