The best that I'm aware of is Kelly's Lifeways of Hunter-Gatherers. It's a direct attack on this particular myth with lots of examples, literature surveys, and everything else you'd expect. However it's targeted at archaeologists and other social-science types and may be difficult reading without that background. I don't know of any lay-person accessible materials on this.

[1] https://doi.org/10.1017/CBO9781139176132

This is perfect, thanks!