This definitely sounds like production rather than projects. Before I comment further, how much variability is in the process. Do these mini-projects suffer from a great deal of unpredictable sources of Murphy's Law or once promised, are they relatively straightforward activities with minimal resource-to-resource handoffs (as I suspect due to the 1 and 2-day turnarounds) with known and limited variation associated with the performance of the work?
If the latter, you're trying to kill an fly with an elephant gun if you are trying to overlay comprehensive project management on the process.
One other question. Is there an identifiable critical constraining resource in the process? Is there some resource that is heavily and commonly used across these projects? (I guess that's two questions, but really asking the same thing.)
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