Heat oil in a medium sized saucepan over medium heat. Add onion and bell pepper, and cook until onion is tender, about 4 minutes. Place in bowl, and mix in the garlic, chipotle, adobo, lemon juice, salt, pepper, turkey, rice, and eggs. Cover and refrigerate for 30 minutes so that the flavors blend.
Shape mixture into 6 patties. Heat grill, and grease the grate well. Cook burgers for 6 to 10 minutes on each side, or until cooked through.
Place patties on bun bottoms. Mix together the mayonnaise, Dijon, and chili powder. Divide among the burgers. Add lettuce, tomato, and bun tops.