If you are interested at all in Confederate operations in the Trans Mississippi during Hindman's command, then you will find that the Alexander Papers contain a treasure trove of information.
In the papers are additional scattered comunications, orders, etc. that will specifically refer to Shaver's regiment. However, it will be a long stretch at the microfilm reader to find all of them. I mean a very long stretch.
These papers have even more information regarding the parent commands to which the regiment was variously attached. These include McBride's command, Shaver's command under Gen Parsons, etc. While not regimental specific in all cases, you will be able to define a time line and location for these commands, which would include Shaver's regiment by extension.
Beyond the Alexander Papers, and the other sources previously discussed, if Bryan doesn't have it in his files, it probably doesn't exist.
Good luck with your research.