I am looking to purchase a decent rifle for coyote and predators and am thinking of a 22-250. Any opinions about the Savage Axis. Any other suggestions would be a help.

IMO you can't go wrong with an Axis. They use a stock design similar to the Tikka with the recoil lug being integral with the stock. Tikkas have an excellent reputation for accuracy.
The Axis is inexpensive to buy because its designed inexpensive to make. They use the same stock for both long and short actions, just a different mag and trigger assembly. If you like the feel of the rifle you will most likely be very happy with the performance.
I say go for it. If you don't like it you wont have trouble selling it.