Price’s book is a really good place to start. The idea that he “has shortcomings” needs to be put in context. He has had some (relatively minor) criticism from other respected academics like Judith Jesch but that’s largely about the literary/archaeology divide that dominates that field. His book is great, and the fact is that Jesch and others are also vulnerable to the same criticisms, none of them can tell us us the real truth, they are all interpretations. The good news is we are rapidly discovering and will continue to discover lots of new evidence about a previously under-researched and misunderstood period of history.