Interesting report - a few questions before I start drawing conclusions.
What was the approximate altitude you estimated? Triangular craft sightings over highway corridors tend to cluster into two fairly distinct categories: genuine unknowns with anomalous flight characteristics, and TR-3B-adjacent misidentifications of conventional aircraft in delta configurations, particularly military transports out of nearby bases. Kansas puts you in range of several installation flight paths worth ruling out.
More critically - did you observe any light positioning? The standard nav light arrangement (red port, green starboard, white tail) versus a non-standard configuration or uniform underside illumination is probably the single most useful discriminator at this stage.
I do most of my field work around Greater Manchester so I'm not familiar with that specific corridor personally, but I've been cross-referencing the NUFORC database and there's a notable uptick in triangular reports along Midwestern highway corridors over the past 18 months. Have you submitted your sighting there yet?
Also - were you stationary or driving when you observed this? Witness movement introduces significant parallax variables that can distort perceived craft geometry, especially at night. Did anyone else in the vehicle corroborate what you saw, or were you alone?
The hovering behaviour is the detail I'd want to dig into most. What duration are we talking, and did it displace horizontally at any point before departing?