Welcome to TRT!!!
denitrators walk a fine line. you want to flow slow enough to not get nitrates out the other end but not so slow that you get sulpher water out it either. sorry, i will need to go back through my denitrator threads to give you the proper terminology.
the problem is that the water can turn toxic if moved to slowly through a denitrator.
your idea would be dead on if this were not the case. there may be a length of time that you could put the tanks on a timer like you say and it will work, but i think that it will prolly be on the order of a couple of hours than a week.
G~