bbjr, not sure if it will naturally filter. An awfully lot of the waste will sink to the bottom where it will stay. However, that rate of replenishment is encouraging. Post back to Cody about aeration if that might be an option for you. Pretty fascinating situation. We understand that adding fertilizer to moving water doesn't work but, for the same reason, you just might be able to overstock given the water exchange rate. Of course, you will still have a forage/prey ratio situation to consider. There has to be some right balance. I believe that I would analyze the dissolved oxygen content, PH and alkilinity prior to stocking.
BTW, some of us have found that fishing doesn't always result in catching.