try some real match bullets. THey look like they are hollow point...they are, just don't act like one. The hole in the front is actually for a pin to push the bullet out of the die. THe jackets on them are so thick and stiff, they do not want to leave the die. That solid jacket won't come apart, so your hide will only have a 1/4" hole, for a 6mm or 243. Since 6mm is one of the most common short(er) range calibers used in competition, there are plenty out there. Many of the custom makers will have or make to your spec whatever weight you want. They are not cheap, but suprisingly affordable and not a lot more then the better grades of varmit bullet. A search on the 'net will bring up plenty. Grady Knight and many others will also send you a hand full of differant weights and ogives for free just to try out.
The downside is not being able to blame ammo for a bad shot. and you better place the shot well, there is no expansion so the shot has to go through something vital.
THe next most common, or thinking about it, maybe it is the most common..., the 30 caliber is about as common as dirt as is the 22 caliber. All of them come in a huge variety of flavors in ogives and weights.
Just pick your poison pill.
Chris