One thing you could consider if you are using CM 6.X and above is single number reach... Any member in a hunt group that has a single number reach profile active will get hunt group calls. I just tested it and it worked fine.
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...