I use lyrics only and had the same issue.
I tried timecodes but they dont work for my band ( sea shantys and Irish folk ), as the timings may change to suit the mood.
I finally settled for a foot pedal using bluetooth, and re-formatted the shantys so that a verse / chorus was always on a complete page, ( chorus and verses if they fitted to the page ).
Took me a while to add this additional function to my lead vocal and mandfolin playing, but now have it working and am able to sync the page turn over with the correct timings of the song. Still get the odd double tap !!! so have to turn the pages back.
However the many other functions of Stage Traxx 3 far outweigh this inconvience, and i live in hope someday the problem will be solved.