Our flairs who study Persia rather than just dip into it from time to time will no doubt suggest other useful sources, but I'd suggest starting with the second volume of the Blackwell-Wiley A Companion to the Achaemenid Persian Empire. It was published just a couple of months ago, and chapters 106-110 cover the historiography over the course a hundred pages or so, with detailed bibliographies and lists of books for further reading. The work as a whole is definitely worth reading, featuring an enormous number of subject matter experts and covering the Empire in significant detail.

As someone actively working in the discipline (and still nowhere near actually reading everything), this past year has been very exciting with new, important publications coming out all at once. From the perspective of an undergrad trying to do research, it's probably a nightmare. Historiography is hard enough to break into as it is and new publications are usually harder to find because nobody has bought them yet.

We're actually at a funny moment, historiographically, in Achaemenid Studies. We're 30-40 years deep into a "new" approach to the discipline. That approach is basically the incredibly-obvious-in-hindsight tactic of communicating between Classics, Egyptology, Assyriology, Religious Studies, etc to actually look at all of the available sources and not give precedence to the Classical narratives just because they're narrative and familiar. The buzz words that I'm sure you've seen already are: "Achaemenid History Workshops," which were a series of conferences spearheaded by Heleen Sancisisi-Weerdenburg in the 1980s and helped formalize Achaemenid Studies as an actual discipline. The conference proceedings were published but only the last set seem to be available online.

If you haven't read it yet, the absolute best place for someone new to Achaemenid Studies to start learning historiography is Writing Ancient Persia by Thomas Harrison, quite simply because that's what the book is for. As far as I know, it's the only book intended specifically to introduce Achaemenid historiography.

If you're not already using them Encyclopaedia Iranica and Bibliographia Iranica are two of the most useful resources for ancient Iranian studies in general, including historiographical research.

As u/Hergrim said, the Blackwell Companion to the Achaemenid Persian Empire just came out, and is an excellent resource if you can convince your librarian to order the set or maybe you're somewhere cool like Chicago or UCLA where they already have them (or would you download a car?). The Blackwell companions are usually a pretty good reference text to get your footing, and they have one for Zoroastrianism too if your thesis is going that way.

If you are going the religion route this paper from Bruce Lincoln is worth reading for historiography. Lincoln is often an outlier in Achaemenid studies, partly because his focus is technically religious history, but it is a good critique of how religion is treated in most historiographies.

The Art of Empire in Achaemenid Persia: Studies in Honour of Margaret Cool Root also published in 2020 and contains a lot of reflection on the legacy of one of the most influential figures in the History Workshops and the study of Achaemenid art. It could be a useful tool for understanding material culture.

Another new release, and future cornerstone in historiography in its own right, is Armed Force in the Teispid-Achaemenid Empire by Sean Manning. If you're trying to deal with the Achaemenid military, it's literally the only book. Specifically talking historiography, the first chapter (pdf) is available for free as a sample on the publisher's website and is a great overview of Achaemenid historiography both in general, and as it relates to the army.

For understanding origins of the discipline, Encyclopaedia Iranica actually has some really excellent entries on prominent authors in the field (I believe the rule is that they have to be deceased). That includes the 19th century polymaths that laid the groundwork like Herzfeld and Rawlinson as well as more contemporary authors like Sancisi-Weerdenburg and Igor Diaknoff.

Edit: I don't know what your deadline is, so this will probably come too late for most universities even if you're due in the Spring semester, but Persians: The Age of the Great Kings by Lloyd Llewellyn-Jones is scheduled for publication this coming April. I know he had some fairly extensive historiographic research, but not how much of that was cut for publication. Even if you're on quarters and go later it might be too late to want to add new information to your writing, but it would certainly be up to date.