OP, you could try running a denitrification reactor. They're easy to build or buy. Just pick a suitable carbon source for the anoxic bacteria and try not to overdose. Alcohols, vinegars, and sugars are good potential carbon sources, or you can buy a commercially available product. We run a large version of these reactors at work and they function very well. The water coming out of the reactor usually has about 10% of the nitrates as the water going in.
Do you have a link to more info on this? Haven't heard much about this idea before?