The reason your pH is rising is because of your high TA. Bleach will not cause TA to rise. Adding baking soda or pH up will. When using unstabilized chlorine such as bleach (or cal hypo or lithium hypochlorite) which are all basically pH neutral on use you need to lower the TA to around 80 to 100 ppm. Even for acidic chlorine sources such as trichlor and dichlor are better off is the TA is no higher than 150 ppm. The pH is rising because of outgassing of CO2. Adjusted TA is a measure of the bicarbonate in your water. The higher the bicarbonate the faster CO2 outgasses and the faster pH rises. Read the sticky on lowering TA and follow it.

Also, the lower you put the pH the faster it will rise so don't drop the pH below about 7.6 and wait for it to get close to 8.0 before you lower it.

If your adjusted TA is 220 then you are bound to have pH stability issues! What is the TA of your fill water?