I've grassed Reds in Scotland with Remington 700 BDL .243 100 Grn soft point it does the job perfectly, I never had a problem.
now I reach for the .308 every time, 160 Grn soft point home load on Reds, it may be just that extra bit I feel is necessary nowadays, or could possibly be I don't think I could keep up with a runner if it goes wrong
Good luck with your choice, it's all about shot placement and know your range your comfortable with, you don't have to test yourself on distant shots or anything your unsure about, clean kill is what it's all about, the rifle will do the rest with ease
atb
phil