After you bleach the tank I would suggest draining it of as much water as possible and letting the tank dry out. I would add beach to your tank as a last step to draining it. You may have "stuff" growing on the roof of your tank. Also you may have dead bacteria stuck to the walls of your tank.
Another more radical step would be to drill precision holes in your pure water tank. With one or two holes drilled, high in the tank, you could get a high pressure water washer and clean your tank. You would likely need special, home made fitting to reach most of the tank. If the hole is large enough you could get a garden hose as well as your arm in the tank.
The holes that you drill could be glued shut. A better method, one that I have used in my black tank, is to purchase "test plugs" for the holes that you have drilled. Test plugs are rubber plugs that expand when you tighten a fitting on the outside of the test plug. All the big box hardware stores and most regular hardware stores have these items. This step is the most radical but it is the only method that I can conceive of to aggressively clean the inside walls of your water tank. I put a 4" test plug in my black tank. Long story about why I did it. I have used the test plug annually to clean my black tank thoroughly. I would do it again in a minute.