I load Sierra 120grn HPBT GK in my 257 Rob, chambered in a Remington 700 Classic, with a 1-10 twist rate.
It only has a 22in barrel so velocities aren't spectacular. Just over 2800fps.
The powder I use is W760 over CCI 250 magnum primers. This load generates around 55,000psi, which is over max in most manuals.
Most manuals max data is around 45,000psi in deference to what used to be prolific amounts of the weaker 95 actions that were and still are around and being used for this cartridge.
The Remington action is plenty strong enough for the loads I use. My loads are approaching but not exceeding 25-06 mid range pressures.
OP, you don't mention barrel length or action type, just the normal 1-10 twist rate.
IMHO, if you keep your velocities over 2750fps, your heavy for caliber bullets should stabilize just fine.