Once you do finally decide on a caliber you may also want to take a look at the Ruger American. It's a very nice entry level rifle and will probably be priced within your budget. have a .243 and a .308 and both are good shooters right out of the box.

I would avoid the combo and go shopping for a scope. Get you hands on as many different scopes as you can and pick the one that suits you and the style of hunting you will be doing.

Hope this helps.