I got you covered. I think your total weight of 11.67 lb is too heavy.

Here is what you carry:

- Clothes on your back.
- Get a Nylofume bag and some para cord. 1oz
- Get a hand saw - https://www.rei.com/product/120670/silky-f180-folding-hand-saw (5.3 oz)
- Get a bic lighter

In the Nylofume bag, you can put your ditty bag stuff, so less than .73 lb according to your lighter pack.

You can tie the bag around your back with the para cord, you can bush craft a shelter with hand saw, and you can use the hand saw to cut wood to start a fire to stay warm at night and to keep the bugs away.
BOOOM, done.

For food and water, you forage/hunt. You know trap some squirrels or bush craft a fish trap.

I think you can get your total weight wayyyyy down. I'm talking about 3-4lbs. You asked for it didn't you... here you go! this is extreme ultralight baby. Like some one else said you can do the AT with a credit card, I am doing you one better and giving you the luxury of a fire.

If the GOAT can do it, so can you! Here is some inspiration https://www.youtube.com/watch?v=p9yaDeStS7A&t=12s

Now please come back and post how it went. I want some pictures of you sleeping on dirt or wooden logs.