Are there such things as hunting schools, where they teach how to hunt game (tracking, setting up stands, field dressing, etc.)? I can sloppily field dress rabbit, but want to move up to big game. I just don't know anybody that hunts that could teach me.

Google your topic and I am sure you will find what you want

There are many guide schools throughout the US. Furthermore, there are many more places that offer guided hunts for large game throughout the US and Canada. During these guided hunts the guide can help you develop your skills (depending on the place that you hunt). Also, contact your local DEC they can help you locate hunting schools in your area.