Didn’t realize you were so restricted on mag length. Look at the cartridges, in a standard 7-08, a 162 grain bullet “should” work still. It will be a little deeper in the case than idea but should work. The boat tail junction would be between the body and neck junctions which is where it should be. Have you looked into berger bullets? They usually shoot better than hornady bullets anyway and work very will on game. Usually saves a little length too without the plastic tip.