I’ve always thought that having a personal inventory would be interesting, rather than say a stockpile. Items could then also be stored in chests or various storage containers in spaces designated as belonging to the respective settler - houses, bunks, etc.
The only reason I’m not certain on a stockpile is that I can see that becoming quite messy? But if you have an inventory that is tied up in the character screen/ character management screen bit then that could work?
You could also upgrade the personal inventory through various clothing upgrades?