You can use hotmelt with carbons, you just need to be very careful and heat only the insert and NOT the carbon. Good shaft preparation is key, so use the acetone on the insert and the inside of the shaft.
Epoxy also works well, the bond is darn near permenant though, so once it's in, it's in.
I use just plain old superglue.
Two brands I've had great luck with are Loctite Control Gel, which has a little slower set time so you can clean everything up, and is thick enough it's very easy to control how much you put on. The other brand I've had great luck with is the Gorilla brand superglue. It's got more in the bottle and a much wider tip so it puts an even coat down quick on the insert/feathers. Set time's a little faster and it's more liquidy than the gel. I've found I actually perfer it.
I usually put three stripes down the insert, and twist them when I put them into the shaft. Count to 10, and it's done. Let it sit for a minute or two to fully set. If you ever need to remove them, take a drill bit that's roughly the same size as the inside of the arrow, put it flat side toward the insert, and slide it down the shaft. Put a pillowcase over the insert end of the shaft, and holding on to both the shaft and the case, swing the shaft toward the ground (like a swing hammer). A couple whacks and the insert will come out, just clean up with acetone and you're ready to go again!
Chris