Mix salt with about 2 cups of water in a large Ziploc bag. Add goose and allow to brine overnight in the fridge. Rinse goose under cool water.
Line a slow cooker with a slow cooker bag. Add the goose, peaches, mango, and pour soda over the top.
Cook on low for 7-8 hours.
Remove goose from slow cooker and shred with 2 forks.
Remove fruit from slow cooker with a slotted spoon and discard, leaving the cooking liquid in slow cooker.
Return goose to slow cooker and stir in with cooking liquid.
To make rice bowls serve with: Cilantro-lime rice, black beans, fresh peach and mango salsa, fresh corn mixed with cilantro and lime juice, cheese, avocado, chipotle sour cream or plain sour cream, and lettuce.