Stone has no "give" (elasticity) so pressing the parts can cause cracking, bruising, and other frustrating problems. TruStone blanks can have the same problems.
I saw a batch of "professionally made" soapstone slimline pens with horrible bruising at both ends of both the upper and lower pieces. Really detracted from the final look!
Couple ways to to try to avoid that problem:
1) Use a shorter piece of stone and have wood or acrylic (something with reasonable elasticity) at both ends of every piece. These should be at least as wide as the contact area between the tube and whatever parts are being pressed in...think of it as a form of segmenting.
2) Before gluing on the stone, press in all of the end pieces, then use knockout bars to remove them. That will pre-stretch the tube ends. Before applying glue, make sure the tubes still fit into the drilled out blanks. After gluing on the stone, turning, and polishing, assemble carefully...you may very well need to add a drop or two of Locktite, CA glue, etc to help keep the press-in parts in place but this should not cause enough stretching during assembly to bruise or fracture the stone. The exception here is if there's an alignment error during assembly (which is why I mentioned "carefully" in the re-assembly step).