If your nutrients won't dissolve in water, even with water flowing around them 24/7, imagine what they're doing in your grow chambers.
Pitch whatever you're using in the bin and use a liquid fert like the three part Flora Series made by General Hydroponics. It mixes instantly with water and needs no constant stirring.
We all learn over the years what works or not. Now that you've learned, move on and have even better crops with less management.
The entire ebb and flow method is designed to make it easy. No changing of water, no reason to stir nutrients, no reason to add air to your reservoir. No roots to trim. Just easy.
As for: "If there was only one method that worked, we wouldn't need this board.", obviously your method isn't working. You have undissolved nutrients laying in the bottom of your reservoir despite a constant flow of water movement around the solids. All you need to do is quit being stubborn and change your method instead of trying to prove you can do it the wrong way by adding more complication to it.