I believe there are "underliner" pens specifically...

by Caz, Friday, September 06, 2019, 09:49 (1906 days ago) @ Creeker

...designed, taking those thinner Bible pages into account. Supposedly, they won't smear or "bleed through."

https://jamedders.com/the-best-pens-highlighters-for-your-bible/

https://darrylburling.com/what-is-the-best-way-to-highlight-my-bible/

https://www.amazon.com/bible-highlighters/s?k=bible+highlighters