Clean the inside sleeve with denatured alcohol, get some jbweld or epoxy designed to adhere to brass and a cheap hex bolt. Use your adhesive of choice to fasten the hex bolt into the sleeve and it'll be solid enough to remove the sleeve. Just dont go crazy with the adhesive...
I don't like working with epoxy unless I have no other choice, but this idea gave me a related idea that would work with materials I have on hand: Make a simple "jam chuck" and pull it out:
REQUIRED PARTS and TOOLS:
* Short piece of dowel, slightly smaller than the inside diameter of the sleeve. You could use a hole saw to make one. You could also use square stock, but it may not grip as well.
* Long bolt.
* Two nuts to fit the bolt. I am calling them Nut A and Nut B. See the drawing in the attachment.
* Three washers.
* Scrapwood board
* Drill - Much larger than threaded part of the bolt, to make a very loose fit. Must be smaller than the bolt head.
* Saw - Any saw will do.
* Clamp or jig to hold the dowel while sawing a diagonal cut across it.
* Drill a hole down the center of the dowel.
* Drill a hole in the middle of the board.
* Make an acute diagonal cut across the dowel.
* Insert the bolt with a washer. The bolt will go from the bottom of the dowel, through both halves.
* Add Nut A and a washer to the top of the dowel.
* Insert the assembly, bolt head down, into the metal threaded sleeve in the wood.
* Tighten Nut A on top of the assembly. The diagonal faces will expand the assembly against the walls of the metal threaded sleeve.
* Place the board so that the threaded part of the bolt goes through the hole in the board.
* Thread Nut B and a washer on top of the board.
* Tighten Nut B slowly. The assembly should pull the sleeve out of the wood. If not, tighten Nut A and try again. You may need some scrap boards or blocks to raise the sides of the "lifting board" as you pull the insert.
* The drill hole should be larger than usual, but not so large that the bolt head pulls through the wood. Keep in mind that the drill hole will offset as you tighten Nut A.
* Think about how you will tighten Nut A in the assembly. It may be tricky, because it will be down in the hole slightly. I doubt it will be much of a problem.
* I imagine that the insert threads will provide plenty of grip against the jam chuck, but you may have to experiment to find the least tightness that provides sufficient grip. If you have real grip issues, glue sandpaper around the dowel parts and try again.
* Don't over-tighten the assembly so much that you crack the insert or prevent it from coming out.