Don't do it. Bad move. Carbons cannot take heat.

Some folks will just put the hot melt on the insert after heating the insert up, but the problem is the Hot melt is STILL hot when you put it into the shaft... thus the carbon gets hot and you compromise the integrity of the fibers at the tip (and won't be able to see it).

I suggest slow cure (12 to 24 hour) epoxy or Bohning's Power Bond (what I use these days). Super glues will work but you won't have enough time to make sure your insert is straight before it sets.