That hovering detail is what gets me every time with these reports. Not moving in any direction, just sitting there. I've had something similar happen out here in West Virginia, middle of the night, dead quiet, and whatever I was looking at just held position in a way that no drone or aircraft I know of can manage for that long without making some kind of noise or drifting.
The fact that you can't stop thinking about it is actually significant I reckon. A lot of people in these forums brush that off but theres something about these encounters that seems to lodge itself in your brain differently than a normal unusual sighting would.
What was the approximate size relative to something you could reference, like a car or a house? And was the field completely dark or did you have any ambient light to work with? Details like that really help the rest of us get a clearer picture of what you might have been dealing with. Would love to hear more from you on this one.