That's not an entirely new idea, and it's not entirely crazy, but it has a lot of issues.
What are the ethics in engineering a new virus and deliberately infecting people?
What happens if some of those people die?
What happens if your variant that has been engineered to spread extremely effectively mutates into something more lethal?
How do you test your engineered virus? Large-scale tests on people? How would that be faster or more effective than producing a new vaccine and testing that instead?
What happens if your tests show that the engineered virus is not as benevolent as you hoped, and is actually rather horrific? Can you put the genie back in the bottle?