Casey, have you looked at a 2" or 3" gasoline powered trash pump? While an aeration system is needed, I think you'll only see a reduction of an inch or 2 per year of the muck with the aeration and bacteria. I honestly don't think that aeration and bacteria will keep up with the amount of organic matter that is entering the pond.

Do you have an area that you can flood with the muck laden water?

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3/4 to 1 1/4 ac pond LMB, SMB, PS, BG, RES, CC, YP, Bardello BG, (RBT & Blue Tilapia - seasonal).