If I were bow hunting I certainly wouldn't be carrying around a rifle no matter what it was chambered for.

I would be packing a double action revolver wuch as the Ruger Alaskan in 454 casull or 480 Ruger or a S&W 629 with a 3" barrel in 44 mag.

If I had only those two to choose from I probably wouldn't even bother with them. I would rather have some pepper spray.