I did this under DEP, VHA and FHA oversight for Coliform and E-coli bacteria remediation for both private and commercial wells.
Do they mention anything about a minimum PPM of FREE chlorine or just total chlorine? I'm thinking you don't know the importance of that slight but serious difference. I can tell you from years of actually shocking wells for customers that a shotgun approach is much better than Olympic target rifle accuracy at a 1000 meters.
And last but not least, how much water was in the 6" well that you used to be able to know the PPM and number of pints for this reply? I ask because you question me about the depth of the well. What I said was a half gallon per 100' of WATER IN THE WELL so I did mention the volume of water.
I guess you think the whole well is full of water and it's all usable? It's not because all the water below the pump inlet is unusable. And bleach being heavier than water sinks to the bottom of the well. Do the college or government guys mention that or using the garden hose? The last I looked they didn't.