If you're worried about lead bullets, wrap copper jackets around them. If you're still worried about lead, bond it to the copper jackets. If you're still worried about lead, you worry too much. Most people don't eat the pulped meat that lies around the wound channel created by high velocity game bullets, and this is primarily where bullet fragments are found. The idea that any lead is consumed from the hundreds of pounds of edible meat recovered from say a moose, is pretty much unbelievable, and isn't much more believable if we consider the wound volume compared to the volume of harvested meat of caribou, deer, bear, or antelope.
There was a lot of attention brought to the plight of people who suffered the affects of consuming a primary diet of mercury contaminated fish, but I've never seen or heard of a single instance of an individual who suffered any symptoms what so ever, from ingesting lead from game, large or small, that was shot with lead bullets or pellets. If this evidence existed, the anti-hunters, anti-gun folks, and the like minded medical associations across North America would be all over it, and the ammunition makers would have been sued into non-existence long ago. That said, if you cast, swage, load, or handle lead bullets, its prudent to wash your hands before eating.