The e-caller you are referring to is the FoxPro brand. They are considered the best by most. I have one a very old one but still works fine and produces good sound. The 223 is a great over all calling round. If your shots are routinely over 300yds or in high winds then a 22-250, 6mm (243) or even more powerful rounds such as 25-06 or even 257 Roy may be an advantage. In a pinch any rifle in the closet can be used. I would limit the 22mag to close in shots in places where noise may be a problem. I sometimes carry downloaded 223 50 gr ammo (50gr at 2200 fps) at a little over 22 mag velocities for opportunities at small game or need for a quieter shot.
