Implies sending away without much thought or care, often due to frustration or disappointment. After repeated warnings, the boss finally shipped off the negligent employee.
Pro Tip 2/3
Forceful Decision
Suggests a decision someone else makes for you, usually without your desire or consent. Her parents shipped her off to summer camp against her wishes.
Pro Tip 3/3
Last Resort
Indicates a choice made after other options have failed or are unavailable. With all local schools full, we had to ship off our kid to his aunt's district.