The easiest solution is to add empty lines to your lyrics at the places where you are playing music but not singing. This could include a long intro, or solos in the middle of the song. If you have a few lines of chords, try adding empty lines between them, or split them across multiple lines if that makes them easier to read.
Another option is to change Settings > Automation > Auto-Scroll Calculation to Manual, and then you can set an auto-scroll pre-roll for this song. I think that's what you meant when you said you didn't want to go to manual timing ... but you can only take this step on the songs where it is needed, and the others will work as before.
For the sake of completeness, you could also use a foot switch to scroll up or down a page at a time or start and stop auto-scrolling as you play, or you could use automation tracks to scroll up or down by any amount or start and stop auto-scrolling at predefined times.