You could bore it out a little, then tap it M12 for 12mm set screws.
Tungsten powder is very expensive for what it is.
Lead shot encapsulated with epoxy and glass ground fibre can also be used like they do in golf clubs. I just weighed 30cc of lead shot= 186gms, filled with water to the 30cc mark, total is now 198gms, So there is 12cc for resin and ground glass fibre. So the lead shot has quite a low denisty compared lead bar. With resin and a bit of ground glass come to 6.67gms/cc, which is lighter than steel rods. It's advantage is it is moldable to the shape to be filled. Extra resin needs to be added, as resin is absorbed by the surounding wood.
Lots of ideas and ways to do the same job.
Joeys idea is as good as any, as it is adjustable. Tungsten and leadshot can be difficult to remove or to adjust the weight.
Neil
.33ci would be with the leadshot resin,glass come to about 36grams, or 1.27 oz, but you could mix a batch, then keep adding it until the handle gets to the desired weight.