There may be issues with carrying a rifle during bow season. I know there are in Oregon.
You might be right but I doubt the law is written so as to prohibit carrying a rifle in the field during bow season. Back when I used to bow hunt in Idaho, you couldn’t carry a rifle while bow hunting but there was nothing to prevent you from carrying a rifle while packing out game during bow season or for any other reason as long as you weren’t bow hunting. I also wouldn’t be surprised that a licensed guide would have a different set of rules than a bow hunter.