Previous posts on early modern sources for Libyan history include: i) Early Modern Libyan Manuscripts in the Bibliothèque Nationale de France and ii) European Journals and Correspondence from early modern Libya.
The Libyan National Archives (دار المحفوظات التاريخية) held in the Red Castle (السرايا الحمراء) of Tripoli contain, or used to contain, a number of letters sent between rulers of Bornu and officials in Tripoli dating to around the mid-1800s. Two editions of these letters appeared in the 1960s, but the archives became less accessible to outside scholars after 1969 because of the regime and little has been published on or about these primary sources since. I haven’t even been able to find if a more extensive Arabic edition exists, although I imagine that there is at least one such publication in Libya.
Letter from Abu Bakr ibn Umar al-Kanami to Nazif Basha, Wali of Tripoli, dated 12 Dec. 1881 (Gwarzo Letter #5)
The Silphium Gatherer | مجمّع سلفيوم 