Personally, I would move out before there was any humiliating circumstance that arose. At the very least, I would check with my city/county and find out what the tenant/landlord laws are and what options you may have.
You have asked a great question that perhaps you should pose to a real estate attorney. I wish you the best!
They can just send the sheriff out and they will escort you off the property.
Your stuff will be held in storage. The doors will be re-keyed. Your half eaten breakfast will be left on the table. It's a very sad thing. The only thing you have going for you is that you might be able to use the sympathy of being a displaced renter with the sheriff. That might buy you an extra 10 minutes of packing time.