The shoulder has recovered and I'm doing a good 4 pullups against 198 lbs vs 9 with 174 lbs before. I have a couple kettlebells (12 kg & 16 kg) that are doing a fine job of strengthing the shoulders again. Beer is off my menu now. I would rather avoid it to be able to go shooting when I please.
You might compare notes with SamAdams76. He has been on Atkins for an extended period and adds fairly long walks to his daily regimen. I'm probably going to resume Atkins again with some regular exercise. My current job assignments require that I fit into the provided flight suit and maintain adequate fitness for underwater egress if my aircraft drops in the drink. That's adequate motivation to drive toward my objective.
It sounds like the low carb approach is working well for you. The "Atkins fad" is dying at the grocery store. All the fancy foods to support it are slowly disappearing. Sticking with it will require some extra effort, but all the basics are still right there in the store.