For heavier game many (if not most) 6.5CM Shooters are drinking the cool-aid and trying the wrong bullets. But with the correct bullet the 6.5CM is going to do anything the old 6.5X54M/S did in the 20s and do it a bit better. The focus today in the magazine articles is on long distance bullets. That's not a good way to go for what you are thinking about using it for.

Go with something tough and/or heavy. Maybe a round Nose shape and you also will do as well as the old shooters with their 6.5s did.
I'd look hard at the Norma and Woodleigh bullets of 156 to 160 grains as well as the Barnes 130 grain and the Nosler 140 grain Partitions.