For a utility rifle, I would look at a couple options, based loosely on what you described.
1) Ruger Mini-14 Ranch rifle. It's basically built for what you describe. It's light, compact, accurate, and fires a round that would work for what you describe. The .223Rem is accurate and has plenty of power. You might study varmit bullets; most are made to really explode on impact, which reduces ricochet.
2) Any of the lighter entry level bolt actions in .243. That is a great all-around calibre for your description. Light, easy to handle,, not too powerful, but with enough power for up to coyote size varmit. It is a nice deer cartridge too.
3) One of the .357 or .44 lever actions, from Ruger, Marlin, Winchester. I like shooting the Marlin 94CS .357 lever. It is compact, light, handles well, and .357 would work for your needs. It is also relatively inexpensive ammo, especially if you use .38sp low power loads. the recoil is very minimal too.
Of the choices I listed, I would be hard pressed. I used to have a Mini-14 Ranch rifle. It was a very solid dependable unit. I like the lever action too. I have not used a .243, but know of folks that do. Nice round...