Hi Dixon,
I had the exact same problem with my tank. Tap ph= 7.0, tank=<6.0=bad
Theres probably a couple factors at play here.
In my case these were them
Factor #1= Since your tap water is so neutral, you probably have very little buffering capacity.
Factor #2 (in my case, don't know about you)= high bioload, it can easily make your ph drop
Factor # 3= lots of driftwood. tannins consume buffers
The combination of all three factors held my ph at <6.0, so my large water changes in order to keep the nitrates down was putting my fish through weekly ph swings.
I added about 10 lbs of crushed coral to my sump and now the ph is MUCH better, even noticed the fish have HUGE appetites now compared to being in a extreme low PH.
HTH