@LarryB - How are you? Long time no hear!
I’m surprised that Adobe won’t keep your W7 install activated. You would need to connect to the internet periodically to maintain activation, and that’s a potential security risk with W7 now. Not sure about whether they still offer an offline activation option. Of course W7 may not run the latest version of Adobe s/w, and so you would probably need to run older versions.
Alternatives? Capture One is generally seen as the main LR alternative - it’s what I mostly use now. It does offer a perpetual license in addition to a rental option, but it’s not cheap to buy, although there may be a Black Friday deal soon. I don’t recall the W7 compatibility. I guess that’s the potential issue with anything new that you want to install fresh now, as I can’t imagine that you’d be able to buy older, W7-compatible versions any more.
Other options? DxO is one. I used to use Aftershot Pro (formerly Bibble), but it went off the rails after Corel bought it. It at least has, or used to have, a Linux option. I’m not aware of any other of the mainstream RAW converters on Linux. There are a few open-source, cross-plaform options like RawTherapee.
The main PS alternative is the affordable Affinity Photo, and they have sales from time to time. It’s quite a decent PS alternative, but its CM is pretty primimite IMHO and I’m not sure it’s really a viable option for printing, esp Piezo. It’s Win and Mac only.