Sour pickles with Calcium Chloride?
Yes! You can use Calcium Chloride to keep your pickles nice and crunchy! I have used Pickle Crisp. I've have had pretty good results. I have also just used generic food grade Calcium Chloride, which I also use in cheese making.(I order this online through my cheese making supplier).

The best tip for crunchy pickles is to avoid over cooking them at high temperatures. I use a thermometer in my hot water bath, to ensure that I do not go over 185 to 190F at which time the cucumber starts to break down. I know, I know people get so upset that I don't "boil" it, but I maintain the temperature for slightly longer at lower temps to achieve the same safety. I've never had a problem and if the ph is acidic enough it shouldn't be a problem. If you feel concerned with safety you can always make them as refrigerator pickles. Which I do sometimes.

I'm not sure of the process you are using, but I do pack the raw cukes into the jars, and fill the jar up with hot brine that was previous boiled. The Calcium Chloride goes into this brine.

P.S. You can buy calcium chloride in both dry form and liquid form. I prefer the liquid form. Hope this helps!