Thanks for all the suggestions, I'm leaning towards a Tikka T3x Lite Roughtech in 30-06 (22.4'' factory barrel), 7 Rem Mag in the same (24" factory barrel) or a Bergara Carbon Wilderness in 7 PRC (22" factory barrel).
The 280 seems like a good compromise but hard to find factory ammo for. I did look into 300 WSM. It has some serious recoil though it comes in a smaller package, however the ammo seems a bit expensive and hard to come by for me as well.
Either way, I'm leaning towards getting a TBAC 7" or 9" silencer for whatever rifle I get if folks have any experience with either?