I was in a similar situation and split the difference with a 7mm Weatherby.
With handloads, it moves a 150 grain Swift Scirocco II at over 3330fps and that is probably the hottest load it can take. I found a lesser load at 3240ish is perfect for accuracy, and bang-flop results on a big old buck north of Dodge City.
The S2 Vanguard 257 Wby made a 3230fps with 120gn Partitions. Later, I found better accuracy with 100gn Scirocco IIs, and much high velocity.