Daryl - Don't know what state you hail from, but I live in the Northeast, so huntin' coyotes in the winter is what I do best.
I guess I'll tell you what I tell all new ( or old ) coyote hunters..........NO ROOM SERVICE FOR COYOTES /ubbthreads/images/graemlins/smile.gif No matter what the temps, or snow depth, the coyote MUST eat or die.
Temps... It just matters how cold YOU can take it and still get around and call. I can call as many coyotes in -10 degree weather as 50 degrees. But many think the cold weather make hunting BETTER, I have found little difference. If the coyote is around, he will respond. But I guess to answer your question directly, cold temps do not hurt your chances.
Snow - Heavy snow makes it tough for both you and the coyote to travel. He will like to travel snowmobile trails, and around lakes with the snow cover blown off. He will be alot closer to civilization when its 4 feet of snow, and much cat killing, and trash picking goes on when the snow is deep.
But DEEP snow will not deter a responce. EXAMPLE: This was in my top 3 call ins of all time /ubbthreads/images/graemlins/smile.gif..... I hunt a scenic sheep farm that is surrounded by beatiful pastures, and abutts a large mountain range here in the Berkshires. We had a 28 inch snowstorm on Thursday, and it was into Satuday 'till most folks got it cleaned up. Saturday morning, I got up before dawn, drove to the sheep farm, and snow shoed out to the back field. I put out a Predator supreme decoy after packing the snow down...all you could see was the rabbit. I remember I was blowin a Primos Regulator 10, and was watching the woodline, as a slight breeze was puffing that direction. I saw some movement in the forest WAY out. I scoped it, and it was indeed a coyote. He was responding, fighting and bounding through the snow.
This coyote locked on to my decoy, and I just stopped callin' This poor coyote had to stop 3 or 4 times before he made it to my decoy. I could not see his body to shoot, snow was too deep. I just let him keep coming, and shot him in the neck when he stopped about 30 yards out. He wanted that decoy SOOOOO bad, and was completely fooled. I had to find out, and that poor coyote ran (bounded) over 500 yards to respond. He had been bedded under a Hemlock tree from the looks of it.
It was crazy, but had this same thing happen again last year.
So don't fear cold and snow, just dress for it. One part to remember is you need a day or two for the snow to blow off the trees, or your sound will go nowhere.
Stay on stand at least 30 minutes, as it will take longer for the coyote to "hunt in".
But in normal snow conditions the coyote has no problems getting around, and any packing/melting and he stays right on top.
In the East, the best time to kill a coyote is just BEFORE a front or storm comes through, not after. Too many variables after, snowmobiles, skiers, deep snow, takes 'em a few days to get back on track. You can kill 'em after a storm, as my story above indicates, but I've had alot more luck before hand.
About the only thing that stops me is those crazy windy days with 40 mph gusts. No thanks /ubbthreads/images/graemlins/wink.gif Regular wind.......HUNT!! and remember Sleddoggs' law... no room service for coyotes /ubbthreads/images/graemlins/grinning-smiley-003.gif
Good huntin', Sleddogg