Sorry about your troubles. I've had similar cause and effect experiences.
Gut strings could/would definitely be softer feeling and larger in gauge, so the force will be spread out over a larger area. Typically, gut players need for the strings to be further from the fingerboard to vibrate freely. It could be great for you, but it's hard to know whether or not you would like it. Depends on a lot of things.
Solo gauge strings tuned down to orchestra pitch are a good, common choice, especially for a rehab-type stint. I used Spirocore solos for exactly this purpose when I needed to and it was a great solution.
There are more "normal" choices that would probably work for you too. Pirastro Obligatos or one of the equivalents from Innovation for example. You might consider Velvet Blues, which I haven't personally used, but they are said to be similar to other Velvet strings in tension, which will be a nice relief for you.
Do you know, specifically what strings you are using now? It would help to understand your starting point.