if you use organic nutes, and you use h202 or bleach you will kill off all the microbes with convert organic into inorganic so the plant will uptake it.
so you are correct you must either ditch organics if you would like to run a sterile growing enviroment.
also If your wanting to run a sterile grow, instead of using bleach, why dont you use zone by dutch master, its a cloramine based product, I would def use that over bleach. I have also used sm90 back when I ran sterile with great results.
If you want a simple organic fertilizer, then grab FloraNova Bloom
http://www.amazon.com/General-Hydroponics-Flora-Nova-Bloom/dp/B000BNON0Y
there is also a flora line of nutients, which is somthing different, thats more like a micro grow bloom series. where as the floranovabloom is just one all enclusive product.
floranova bloom has everything ur plants needs with all the mico elements, great stuff IMO, I believe the dose is 8ml per gallon.