A 2x7 makes a great coyote hunting scope , even more so if your calling coyotes. I love calling coyotes and the closer the better, Most of my coyote guns wear 1.5-6x40mm scopes and stay at 1.5x most of the time unless I get one hung up out a ways. On a coyote hunting scope I like to see at least a 40' FOV on the bottom end, it helps on the close ones, tracking a moving coyote through the brush(you can spot a clearing ahead of the coyote and still keep the scope on him) and it is faster to pick up one moving. Don't overlook a 1-4x20mm, huge field of view and out to 300 yards is a chip shot for a 4x, I have all my combination guns(rifle/shotgun) set up with 1x4's and am very comfortable out to 300 yards with the rifle calibers in 5.6x50R Mag, 5.6x52R and 6.5x58R and on 1x is perfect for the shotgun barrels
The Burris FF-II is a great calling scope plus it has a the Ballistic-plex reticle which would be handy if your shooting heavies out of that 16" barrel. The Weaver Classic V 2x7 has really decent glass, both of these can be found in the $150. range.. If you can find one in your price range the Bushnell Elite 4200 2.5-10x40mm works well, I have one on an open country 22-250.
I'm not a big fan of bino's on a coyote stand, all the movement raising and lowering them is a lot of movement to try and conceal. Coyotes are big enough that they can be seen at a pretty long distance, usually farther than I'm willing to take a crack at them over a set of sticks,I set a a limit of 300 yards for myself, too easy to miss and that makes them that much harder to call in the next time. Many times I've let a long one pass and came back the next day and killed it at short range with a different sound or set up.