there are folks that make decorations, out of concrete, and on purpose, mix in leaves, twigs, algae, etc... the effects give little "pot holes" per say, to more of a old aged look to the concrete. more so after everything rots away and just the concrete is left. with that said, i would want to keep large chunks of stuff out. or rather stuff that would rot over time.
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with above said...
12 x 16 concrete slab, and trying to manually use ready mix bags, and a 2 bag or so concrete mixer. i think you are over estimating, how much labor is involved. and how much actual time you have to work the concrete before things cure to much.
i would say you would be better off ordering a concrete truck, and either having it pumped, or wheel borrowed from truck to area. or other. trying to do it yourself and some friends *shakes head no* not that much concrete. i doubt a trailer of pre mix would be able to hold enough for size you are talking about.