CX reservations contacted me last week. After some calls back-and-forth with them about the details of my case, we were able to come up with a solution. They didn't have any N class space left for an earlier outbound flight from LAX, but they were able to move our final HKG-LAX segment back by a couple days, giving us a second stop over in HKG on our way home. We will still have a couple nights in LA on our way over, but at least we were able to trim our time in LA down to an overnight for our trip back to DEN.
They very graciously waived the change fees and since the new fare was lower than what I originally paid, I didn't owe any additional fare. I don't think they will be refunding the fare difference, but I wasn't expecting them to.
I consider myself very fortunate.