Bring large pot of water to a boil. Slowly lower eggs into bubbling water and boil for 7-8 minutes. Immediately transfer to bowl of ice water to stop cooking.
Remove shell and place eggs in medium bowl. Using a spoon or other utensil, mash eggs into tiny pieces. Add cooked shrimp (diced), spicy mayonnaise, salt & pepper to taste, and chili oil to bowl. Mix well.
Slice croissants in half, length-wise, stopping before the cut goes all the way through; lightly toast. Assemble sandwiches from the bottom croissant piece: lettuce, cheese slice (torn in half), 2-3 slices of ham (folded), egg salad. Fold top croissant piece closed. Use a toothpick to keep sandwiches closed.
