I didn't read this whole thing and may have suggested this before but I would try the 128 Hammer Bullets
https://hammerbullets.com/product/257-cal-128g-hammer-hunter/Other Hammer bullets have shot well for me and I am using the 103s in a 257 Weatherby with good luck. One thought on the Black Jack bullets since they are made by Sierra most long range shooters would use a meplat uniformer on the Match Kings.
BiBullets will do custom bullets as well as some others but will have a 1-5,000 minimum so maybe a group buy? Hammer will also do custom orders but not sure of their minimum. I would like to see the maximum for 1-10 twist bullet seems like they could go heavier than the 103.