I tested using MPS (potassium monopersulfate, Oxone) in various non-chlorine shocks, and got NO improvement. It screws up testing, because MPS tests as CC. And if you have an ORP/pH controller, you'll have to turn that off, and feed manually, because an ORP electrode sees monopersulfate as chlorine.

You can test DE; other than shortening filter runs, it shouldn't hurt anything. I haven't tried it myself, under those circumstances.

Don't know what "Wipe-Out" is -- do you have a brand and ingredient?

Here's what I've found helps:
#1 - Contamination control.
Doing something like having a 10 minute adult swim every hour so the "lifeguard can have a break" often works. You can tell, if you get the kids out, and they all start doing the pee-pee dance, before running for the bathroom. This can make a HUGE difference.

#2 - Keeping the pH at the high end of things (you're there now) seemed to me to reduce the noxiousness of the CC's, if not their levels.

#3 - Chlorinating with single doses of calcium hypochlorite, added at closing, in a very specific manner definitely helps.
I think I mentioned before that this approach took an overloaded and under-filtered Boys' Club pool with 300+ boys / day from hazy murky to crystal clear on Monday, and clear throughout the week. This is perfectly safe . . . IF you follow my instructions . . . but I don't usually explain this until somebody promises that they will dot their i's and cross their t's just like I say. And, of course you have to be able to purchase granular cal hypo, and have a location where you can add it AHEAD of the filter. (Skimmer, gutter, or surge pit)

#4 - I have speculated years ago that stabilizer, a low dose, might help. Chem_Geek has taken it further, and thinks that maintaining 10 ppm CYA will help. But, I'm not sure that anyone has really tested it. It won't hurt, unless you put too much in.

#5 - You can purchase a UV irradiation system, that adds outdoor-like UV + chlorine treatment of your pool. I believe these work - - like removing your cover would work - - but it's a major investment, and will significantly increase chlorine use.