Try the 95 gr bal-tip with either IMR-4831, AA-3100, or VV-560 with BR-2 primers .005 off lands factory rifles shoot under 1/2" with these powders..Sako and a Tikka. Loads are in the Nosler book. This bullet kills whitetails very dead. I have found the .243 likes a pretty full case of the slow stuff with heavier bullets.
I use VV-560 with the 105 A-max in my 243AI 1-9 twist. You might want to try this bullet they are pretty cheap for a great bullet. I have taken deer and antelope 'out there' with this bullet. Recommended twist is 1-9 by Hornandy.