Packrat, items that weigh 2 or less weigh half normal.
So, with packrat carrying 100 weight of junk / 2 saves you 50.
Playing HC, so it also makes ammo weigh half as much too, plus you have to carry food & water.
Unfortunately the 70 Barter requirement on Pack Rat almost rules itself out on a hardcoe run if you wanted to live as a survivalist unless you plan to take it later on when its not as useful *shrug*. I'd say Strong Back if anything, but there's so many useful perks best to try and cope with the inventory management and get a safehouse to dump Believe me they both sound great but huge tradeoff in the early-mid game when other perks can really shine more. Just my opinion anyway