Well, I guess we're even....I didn't answer your question about Non-CYA tabs and you didn't answer mine about how often you shock.

Watermom answered your shock level...you're not gettin' there. In fact, with your high CYA, you need to be at 25+ to shock your pool.....30 won't hurt.

I do not know of any non-stabilized pucks but you're gonna have to get off the tabs to start controlling your CYA level. It's too high now and will only increase as you use the pucks.

If your pool is clean, you should be losing 2-3ppm per day to the Sun. That means you could bring your Cl up to 14 or so and let it drift down to 8 over the next three days, then redose to 14....solving your issue with daily additions. Bleach will cause pool water pH to rise but very slowly. If you'll get your pH down to 7.2, I'll bet it'll be weeks before you have to lower it again.