I know I'm the one who brings up counter-intuitive stuff, but lowering the TA could actually help slow the rise in pH if a large enough component of it is due to ougassing carbon dioxide. So it's hard to tell what's the best thing to do except to experiment (unfortunately, it's hard to lower TA once you've increased it). This is part of the reason it may be helpful to add borates to your pool to have an additional pH buffer with boric acid. Some others on this forum are trying that, so far successfully (see this thread for more info).

Richard