Yes, they're mostly short inscriptions and graffiti (in Egypt for example, where Carian mercenaries served). But so far no archives have emerged.
Inscription in Carian and Greek
Anistoriton | 27 Dec. 1997 | (editors)
Posted on 07/17/2004 9:20:07 PM EDT by SunkenCiv
http://www.freerepublic.com/focus/f-bloggers/1173453/posts
Quarry, Setting and Team Marks: The Carian Connection
University of Leiden (Netherlands) | 1998 | (about) Sheldon Lee Gosline
Posted on 10/08/2004 6:20:42 PM EDT by SunkenCiv
http://www.freerepublic.com/focus/f-bloggers/1239452/posts
Non-Attic Characters
University of California, Irvine, Thesaurus Linguae Graecae | September 7 2003 (rev 9-28-2003) | Nick Nicholas
Posted on 07/18/2004 9:43:19 PM EDT by SunkenCiv
http://www.freerepublic.com/focus/f-news/1173901/posts