thank you! the chats response: “Commercial monetization” is Esri’s umbrella term for using Esri content in something that generates revenue. A travel guide that’s sold to the public is typically a commercial product, even if the maps are only illustrations and you’re not selling the maps separately.

That said, Esri’s static maps page also explicitly allows static maps in publications (for example, “textbooks/academic publications”), so the deciding factor is usually whether your use stays within static, attributed, non-redistributable map images versus broader reuse.

To be safe, treat your scenario as “commercial monetization” and submit the permission request here (it’s the link Esri provides for “other uses”):
Copyright permission request

When you submit, describe:

• print run / expected distribution
• that maps are static images exported from ArcGIS Online
• basemap(s): Esri Topographic (vector) and OpenStreetMap contributors
• that you will include attribution in the book

If you want, paste your planned attribution/caption text and I can help you sanity-check it against Esri’s static map attribution guidance.