RE: .30-06 for Coyotes
If it' s a matter of not being able to purchase another rifle at this time, I would go with the 125 grain bullets, which are factory loaded. Someone above mentioned the FMJ. They' re actually 147 grains, but in most states they' re not legal for hunting. If they are legal in your state, They would be your best bet. If you can' t find the 125 grain (order online), you' ll want a larger bullet designed for deep penetration.
I used my .30-06 for the first 10 years of my hunting career. I used it on varmits on up. Now I prefer my .243 for yotes.