Unfortunately, there aren't too many good and accessible sources on Mesa Verde meant for more general consumption (as opposed to very technical archaeological material).

If you are interested in Ancestral Puebloan archaeology generally (and not just Mesa Verde), then there are three good overviews of Pueblo archaeology, any of which would be a good primer to Pueblo archaeology (including Mesa Verde).

These three are the Cordell and McBrinn book, the Plog book, and the Kantner book. Any of the three is acceptable and covers more or less the same information.

For Mesa Verde specifically, unfortunately (though understandably), most of the archaeological work (including accessible books) has centered on researching the very sudden and very thorough depopulation of the Mesa Verde region around A.D. 1270, wherein nearly the entire population of the area moved southwards into the northern Rio Grande. Explaining this sudden and complete depopulation is a major topic of research in Southwestern archaeology. For this, I would recommend two books. The first, Leaving Mesa Verde, takes a very ecological and environmental approach to the problem, positing that environmental changes in the 13th century was both a stress on corn-farming agriculturalists like those that lived in Mesa Verde, but also compounded other social problems. The second book, Winds from the North, takes a very different approach to the problem by looking at linguistic, genetic, and ethnohistoric evidence from modern Pueblos in New Mexico to discuss their connection with the Mesa Verde region.

I wouldn't say either is "complete" in the sense that both take a very specific approach to answering the issue. If you wanted to read either, I would say "Winds from the North" is the most accessible to a non-archaeological audience since it doesn't get as lost in the weeds of environmental reconstruction like "Leaving Mesa Verde", but neither was written for a popular audience (like the three overview books I linked to above). Both are also quite expensive, so check your local libraries! Might want to skim online previews before committing to one or the other.

You should also take a look at the Crow Canyon Archaeological Center website. They aren't focused exclusively on Mesa Verde (they do a lot of work on Chaco-related sites in northern New Mexico/southern Colorado), but they are focused on public outreach and making archaeological research accessible to the public.

Finally, I've written a little bit about Mesa Verde before on /r/AskHistorians, in this and this answer.

Hope that helps, and happy to field any other questions.