After trying both Macrium and EaseUS clone functions in an effort to get a copy of my failing HDD, and having neither succeed, I decided to give one more tool a try: MiniTool Partition Wizard.
I hadn't even thought of this utility for this purpose, but was firing it up in anticipation of needing to resize the partition on the replacement drive after it had been cloned.
Well, they have a disk copy (clone) function that not only clones, but if you're cloning to a target drive larger than the source drive it will automatically resize the Windows partition to allocate all the additional space on the target drive. It worked perfectly.
I have just finished transplanting the drive copied/cloned into the laptop I'm currently typing on, and everything booted up without any major issue. For some reason Google Drive Sync & Backup did not like the new drive, but after going into settings and setting it up again it's working fine, too.
Here's the new Speccy snapshot for my system with its new 1TB SSHD. It wasn't even as miserable to tear down to get to the HDD for replacement as I had been recalling. Of course, everything's easier the second time around.