Ed while clay is a great source of trace minerals, in general it will do nothing to increase your KH
With regards to the use of sodium bicarbonate, otherwise known as baking soda, For those fortunate enough to have soft water (which I believe is a plus point when raising koi) it can be a headache trying to keep a balanced level of KH fit for a beginner with a level high enough to correct mistakes they might inadvertently come across while learning the ways of koi keeping. The main problem is that the constant addition will make the KH level tend to bounce about after each application and in koi keeping, the key word is stability. The more stable the conditions, the better the fish tend to grow.
I have often thought about the swimming pool my parents had when i lived at home. The added chlorine via a small tube attached to a venturi at one end and a tank filled with chlorine tablets at the other. The chlorine was constantly sucked out of the reservoir by the under pressure in the venturi and applied chlorine at a constant trickle.
I wonder if the same system wouldn't work with baking soda. There are several ways to approach this and regulate the amount of NaHCO3 being introduced to the pond. My thoughts go out toward a small, dedicated pump of maybe 15-20 watts with a venturi drawing from a stock container of Sodium Bicarb. The amount added can be influenced by varying the concentration of the stock mixture, the running time of the pump or a combination of the two.
Getting the right mixture would take a bit of experimentation but I am sure it would be a winner once a balance was found.
B.Scott