there is nothin wrong with taking her to the woods to let her run and explore. she is not dumb, she is just a puppy and although she can smell scents from critters like rabbits and things she probly wont try and track em out because her prey drive has not been triggered yet. she has no idea the scent trail leads to anything. to her its just a different scent to smell around on.
jeeppro is right in my opinion also, she is too young to be trying to start her right now. at 8 to 10 months old she will be at a better age to start. enjoy her as a puppy now and create the bond with her. it will pay off during training.
coons may stay in their dens for a few nights when its really bitter cold. but they do not hibernate like a bear.
where in michigan are you located ?
this pic was taken in michigan, bitter cold in jan that night.