Sorry to hear about that! Is the damage permanent?
You might want to look into a low-profile keyboard using Kailh Choc switches. The red (light linear) ones could be a good option, or you can buy
custom springs from Sprit that are as light as 12g (originally intended for high-speed stenography usage). That should solve your short-travel and light-touch problems. Do note that Sprit has a poor reputation in this community as a former outright scammer and otherwise somewhat unreliable vendor; but I don't know of any other source for custom Choc springs.
As for a softer keyfeel, that's tougher. It might be possible to buy some kind of adhesive silicone padding and stick a piece onto each key.
Another option could be Niz 35g domes. Niz is a Topre clone that is notably less tactile than Topre. But it's still a tactile switch, and the bottom-out isn't that soft, so it might still aggravate your condition. They can be configured to actuate relatively high, but overall the travel is still "full". The one nice thing with these switches is that they use a standard MX mount, which means that maybe you can use
silicone keycaps, which are relatively soft and squishy like the keys on the Logitech.
edit: You can also put those silicone keycaps on a regular MX board; look for Gateron Clear switches, or buy the extra-light MX springs from
https://switchmod.net, or Sprit if Switchmod is out of stock. You can pair the light springs with MX Speed Silver or Kailh Speed Silver switches for a very light, very short-travel MX keyswitch. If you want even MORE dampening, you can try putting o-rings on the keycaps, which will stop the key from depressing fully and cause a soft bottom-out feel. However combined with the short-travel Speed switches the travel might be shortened too much.