Cut the chicken into bite-sized pieces. Place it into a large resealable freezer bag.
Melt the butter. In a small bowl, combine the cream of chicken soup with butter and milk.
Pour half of the soup mixture over the chicken.
Cut the lunchmeat into bite-sized pieces. Add half of the ham on top of the chicken.
Add ½ the box of stuffing on top of the cheese.
Layer the remaining ham, cheese, and stuffing into the bag.
Remove the excess air from the bag and seal.
Put the remaining 1 cup of Swiss cheese in a medium freezer bag. Seal the bag and staple it to the large bag above the fold.
Top with remaining Swiss cheese in the last 30 minutes.