We aren't sure yet if the camping provisions automatically access your camp chest in the final build, but it didn't in EA. So here is a handy tip that saved me tons of time and energy when dealing with long rests.
Keep a couple backpacks and sacks on you at all times. As you collect food items, fill up the bags with somewhere between 7-10 weight with food and then send the bag to camp. As you travel, try to keep one pack with at least the 40 food needed to rest, and just keep sending other packs full of food to camp.
Then if you ever hit a dry patch in food collection when you head to camp just grab one of your already full packs and pull out food from the pack rather than digging through your entire camp chest to find what you need. Not only does this save you time, it keeps your inventory from getting cluttered will rolls, wine, and the single kiwi in the game (WFT did it come from?).
Side note: This method also works well when you want to just sell a bunch of junk but don't want to have an inventory cluttered with items you don't care about. Just shove em in a bag and sell the bag full of junk rather than hunting down each item when you get to the shop.
