If your going to be calling coyotes, a heavy barreled gun can be a beast packing it into stands. CALLING coyotes isn't a long range game, most shots will be under 300 yrds and a large majority of those under a 100. That said there are a few guys around that make me look like a midget have no problem packing around a 10+ lb. rifle and handle it like it was a wand.
Heavy barrel guns work best from a fixed shooting situation like targets and varmints(PD's and GS's) hens the name Target/Varmint barreled and the factory predator guns will have light to midweight barrels on them.
Most of my coyote/predator guns are 22" sporter barreled with low to mid powered variable scopes on them on them. I prefer shooting sticks over a bipod just for the fact the gun is more maneuverable with sticks than an attached bipod.