I do 90% of my deburring on the CNC using a 45° cutter and/or rounding corners with the EM as I machine the part. Gives great consistant results, is fast, is not prone to human error, (an easy way to scrap a $2,000.00 part is to have your deburr guy gouge it or 'over-deburr' it or drop it or scratch it etc etc..), and frees up man hours to be doing something else to make money.
I also have a small rock polisher (about 10" dia.) with plastic media for occasions when the print calls out tumbling. That should work nicely for your parts provided they're alum or non-clear plastics or most light to moderate steels. I've never tumbled exotics, it might or might not work.
Matt
San Diego, Ca
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(Note: The opinions expressed in this post are my own and are not necessarily those of CNCzone and its management)