With that kind of change you are looking at a tenfold increase and/or decrease in acidity.
Its hard to believe that would not be stressful to a fish.
Like i said before some aquarists believe that ph changes aren't that stressful to fish but I would disagree. You also have to consider that ammonia is much more toxic at ph's above 8 than it is at ph's around seven. (that is probably why some people consider ph fluctuations "stressful") So the combination of ph fluctuation stress and ammonia stress have probably made your goldies susceptible to ick.
I have never treated ick but have battled other diseases. The baking soda will not hurt or help in treating the ick but it will help to stabilize the ph. and that is always beneficial for the fish.
With such a small water column fluctuations can happen very quickly. I would do a water change (not much maybe a gallon at most), add your ick medicine, stir a half teaspoon of baking soda into the water your gonna put back in the tank, and fill the tank back up. this should roughly double your KH readings.
Treating illness is a tough task...as soon as you think its gone do a 50% water change (add some baking soda to the new water

) and fill it back up. Don't worry about overdosing the baking soda. I have had goldfish in 25 degree KH (450ppm) water and saw no ill effects. The only downfall of having a really high KH is that the pH will stay fairly high (When i had my 450ppm KH water i couldnt get the ph below 8 no matter what i tried) thus ammonia will be more toxic so weekly water changes become important.
STABILITY is more important than a targeted pH. (but i think you know this already

)
Do you know what kind of plant you have in your tank?