As most of you know, I have imported that material for nearly a decade. It is a resin that is quite easy to turn, but not so forgiving in drilling.
"Make the piece long and cut off the end" is the ideal solution, but the material is only 114mm long (4.5"). with some pens, you need most of that length!! So, drill slowly (Not necessarily low RPM---low advance rate) as you approach the bottom, be very careful. Most resins will crack if they are allowed to "climb" the revolving bit as it exits. So, hold the material firmly in place and try to stop short of the bit exiting.
A technique I use sometimes is to leave the end ON, glue the tube in place (assuming it will fit completely in the blank). Once everything is set (the next day), run a quarter inch bit through the hole (tube) so your 7mm pilot shaft of the barrel trimmer will fit through it. Then carefully face the blank, exposing the larger hole and the brass tube. Takes a little more time, but saves "blowing up" blanks.