Ahhh the mobile home!
What you could do is take down all strips, and anything else that protrudes from the lid. Then go over the whole lid with 1/4 inch drywall. This will actually be your best bet for a "no cracks in the future job" and it actually slows down heat loss through your ceiling!!! Good luck..
See my work-Check out my album. "Git 'Er Done":D