I suggest you work on Pulse & Glide. Running the RPM that high is a KILLER to mileage. Pulse & Glide is a good way to overcome that. I've run that same highway trip several times.
That's right. Shift into Neutral for the glide part. Pulse at medium-high throttle. Is yours an automatic? Leave the engine running for the glide. If it's a manual, you can shut it off and then clutch-bump to start it back up.