I live in the middle of 209 acres of beef cattle farm and the coyotes have set up shop in the pastures... I hunt them pretty much year round.. CAN'T STAND THOSE LITTLE BASTARDS.... The best time to hunt them is in the spring..March April time frame.. when they are breeding and looking for females and the pups are goin wild...Go to your local bass pro shop and get a rabbit in distress call, and an electronic call. about $40-50 total.. My weapon of choice, being a Marine, one shot one kill with precision shooting, I love my .17 HMR... 150 yards you can hit a 1" still plate all day long if you know how to adjust for windage....shoot them between the eyes or at the base of the ear and their done.... you need to be well camoflauged though... A gillie suit is what I prefer but I'm also laying in the middle of a pasture... Good deer hunting camo works great as well. be sure to wear a face mask as well and conceilment is everything... Remember that you are trying to outsmart a predator that can spot a mouse in a field at 100 yards... once you are in the woods and you have a good blind set up, start by calling like a chipmunk... They call it the "kiss of death" all you do is kiss the back of your hand make a kissing sound. Basically you are imitating a chipmunk squeek. Do this a few times and wait for about 20-30 mins..then go to the rabbit in distress.. Start with the sound really low. let it run through it's cycle and wait for about 5-10 mins. then repeat, for about 3-5 times.. Keep your eye peeled though....
As said above.. coyotes hunt in pairs. and will circle the prey. They will sit at a distance and just look that's why it's good to have a visual... You can pick up one of the remote rabbit, mouse machines at the bass pro shop as well.. Really works great.. When you see them they will probably close the distance fast so be in shooting position from the get go.. The visual keeps their focus off of you, but quick movement will not go unnoticed.. I've had them to within 10feet in a guille suit in the hay field and the never knew I was there until the circled behind me and smelt the trail where I crawled into the field and I didn't have a second to get off a shot... Don't underestimate them.. They are not a stupid dog... Don't over pressure them and change up your calling.. If you call them in and blow the shot or just miss. You may not get another with that call... They catch on extremely quick.. But I will warn you now....... IT'S ADDICTING.... I ABSOLUTLY LOVE HUNTING THEM IN THE SPRING...
Kiss of death a couple times, couple of locator calls and they will usually be on you before you know it... if not distress is best... Hope this helps.. Sorry so long... It's a totally different hunting experience I tell ya... Enjoy