No need to test pH, the test is quite inaccurate above 10ppm FC and much above that it's not even worth it. So simply don't bother at high chlorine levels.
Also, how far did your FC drop? Since you're at 14, you have a bit of room as your shock level is 12ppm. These really aren't hard and fast numbers, just guidelines. So if it's an issue, bump it up a bit as a buffer when you go to bed, or have to leave, or for daytime.
As for pH, it will naturally rise anyway when shocking as a result of the large amounts of CL addition. This is perfectly normal and all part of the chemistry, just ignore it till you're done shocking.
I don't own an SWG, but I understand them quite well. I wouldn't run it all the time, IE. regular schedule. But I would use it to help keep my FC levels up during the daytime when the sun eats/consumes CL, or when you're gone and can't add, only if that means the difference between your FC levels dropping below shock and not. Otherwise I'd just leave it off, what with the high pH which can cause troubles for the cell. Running it a bit here and there to boost things probably isn't going to be an issue though.
If you do leave it on, you'll already have a bit of a feel for how much you're loosing as you shock, in turn, you'll know how to set your SWG run-time appropriately. You are running your pump 24/7 while shocking and keeping an eye on your filter pressure, right?
Lastly, with an SWG cell, your CYA is waaaayyyyyyyy too low. Ignore what the manuf. says, they're wrong, CYA needs to be 70-80ppm. Your other levels all look fine, high CH, but sometimes you can't help that. That's where your TA & pH come in to keep the scaling in check. Chemistry is your friend, use it.