Mike,
You really don't have to worry too much about hunters and trappers putting a dent in the population of coyotes.
It is very obvious that the coyote population continues to be on the rise as they can now be found in every county in New Jersey. We had none down here where I live ten years ago and now I can find them outside the front door, literally.
The take from trappers peaked at 171 statewide last year, which is a drop in the bucket compared to the estimated poulation of 5,000-10,000 thousand statewide. . There are still less than a thousand of us licensed trappers in New Jersey.
As for coyote pelts not being "worth a crap", that is not accurate. Last year coyote were number three in pelt value in NJ bringing $17.20 ahead of beaver which brought $16.26 per pelt and red fox at $11.30. Only otter at $30.83 and gray fox at $19.71 were ahead of coyote. These are very depressed prices compared to the 1970's but they have been improving.
Here is the summary table for 2009-2010.
http://www.njfishandwildlife.com/pdf/trapper_survey09-10.pdf
The trapping summaries, which include the demographics of the trapper and the takes are published each year. Take note of the success rates for snaring coyote:
2,243 trap-nights to snare one coyote. That translates to 0.04 coyotes for evey 100 traps set.
As for the coyote/fox permit firearm hunters, here is a sobering stat:
2,000 permits will be sold this year for the coyote/fox special permit season. New Jersey Fish and Wildlife fur bearer biologist Andy Burnett estimates 10 coyotes will be harvested during the permit season.
Here is a brief article.
http://nj1015.com/coyote-population-growing-in-new-jersey-audio/
Not a very high success rate. I shot my coyote last year in January and I consider myself very lucky to have had the opportunity. It was a very exciting hunt to say the least and I will remember ever minute of it as long as I am alive.
As for hunting and trapping coyotes or any other legal furbearer Mike, I don't know how I could ever adequately explain the desire to do this to a fellow hunter like yourself.
I am going into my 5th trapping season and my only regret is that I didn't start when I was much, much younger.
There is something very primal about stalking, tracking, patterning and taking furbearers that I suppose you will just have to experience for yourself.
For me, trapping also provides a greatly extended time in the quiet, winter woods looking intently for signs of animal activity on a level that 95% of the human poulation will never notice. I am hunting waterfowl, small game and deer from September to February on the weekends and actually into April if you include snow geese. Checking the trap line fills in all the weeknights up until March 15 each year.
Since legal and ethical trapping requires a check of the trap line once every twenty four hours, you are guaranteed a trip into the big woods every day, rain, snow or shine !
Scott