I have a Savage 24F in 12 gauge and .22 hornet and love it, though the trigger pull is a bit on the hard side. The 12 Gauge has a Modified choke tube, and I'm thinking of getting Improved Cylinder and maybe a rifled choke for upland and deer shooting. With open sights from a bench I was just able to get the .22 hornet rounds on the target at 200m, not quite enough accuracy for varmints, but I suppose that it would be fine as is for Coyotes up to 100-150 yards, maybe further with optics and more practice.
I'm a wood person myself, but the plastic stock is durable and doesn't look too bad on this combo. While there's older wooden models out there (though just never when I'm looking for them!) you will probably be stuck with Full choke, which is limited in its applications on upland game.
Good Luck,
Frank