For most North American big game the 6.5 Creedmoor has become an ideal cartridge. As gunwriter Ron Spomer said, "For optimum reach with minimum recoil, the 6.5 Creedmoor is worth a look. Although it starts slower than the 270 Win., its sleek, high BC bullets conserve energy and allow it to eventually catch and pass the 270, 280 Rem. 30-06 and sometimes even the 300 WSM. Most rifles chambered for it are built for accuracy. [I ]recently shot 1/2 MOA in two 6.5 Creedmoor rifles I tested."
Ideally, you would use the 6.5 Creedmoor in most places and for most medium to big game that you would hunt with any mid-sized cartridge. Coyotes? Yes. Whitetails? Perfect. Black bear? Sure. Without question it excels with 1) manageable recoil and 2) exceptional long-range accuracy and ballistics.
Reference: Ammunition companies, Wikipedia, general knowledge, Ron Spomer. Refer to ammunition companies for any specific technical information.