We also needed to do this but could'nt find a way. AbbrDial entries are stored in CM's SQL database, not DC Directory (like Fast Dials and PAB entries). The table is just: device id, speed dial index, speed dial number and the label/name. It appears that the name is only used for reference when accessing via CCMUser or CCMAdmin.
We ended up using Fast Dial lists for group speed dials (a few key presses slower than AbbrDial though).
These are the paths to get to each CCX logs through CLI. They may be helpful if you are having issues accessing RTMT or downloading logs through it.
If you want to download them you have to prefix "file get " and you can add one of the options (re...