Smart0036, while I wouldn't want to discourage you from trying the national forest, I think you'd have a better chance if you could get on a nice farmer's field in an area known to have coyotes.
Ideally, you would have your choice of several fields with different wind options (i.e. you want to set up so that the wind will not be blowing your scent towards any direction you expect the coyotes to come from).