I'm not certain what that is exactly, but i believe it is a bird. Probably some sort of owl. Try a birding website to get the exact species. The repetitive nature I heard and you described does not sound like elk. If it were some sort of small mammal, like a squirrel it would not continue all night. So like I said, best guess is its an owl.
UPDATE-because I'm a geek and it was eating at me- I'd now say it is a northern pygmy owl, given your location and the owl calls I was just listening to.
Every year my Pro-Staff and I head to the woods to hunt the old wise Tom. We travel thousands of miles covering numerous states hunting these old guys. Lots of times we end up hunting public lands or private property that have been hunted already. That’s the last thing you want to hear when you just traveled 6 hours that someone else has already hunted the property. We had to come up with a game plan and one real fast.
The first thing we did was ask the farmer were they usually see the birds in...