I'm looking online and the closest thing I can find for a survey text about the history of Kazakhstan is Sarah Cameron 'The Hungry Steppe: Famine, Violence, and the Making of Soviet Kazakhstan', which covers the just a relatively small period of time. Otherwise a few works about Central Asia more broadly have been published as well.
It's getting old but probably the closest thing to what you're looking for is The Kazakhs by Martha Brill Olcott. It's a history of the Kazakh people from the Kazakh Khanate period through to independence in 1991.
You could try contacting some of the professors at Nazarbayev University history department I think Daniel Beben (he is the in the list in the link above) is one of the professors who specializes in Central Asia