Yes, MOI's sweep tool actually does the job for these types of shapes. I did the whole curve tangency thing by joining the mirrored halfs of the curves, deleted the points at the juncture, cut them again in half and there you go a smoother surface result. If you want it smoother at the mirror line you might want to add more profiles like in the nose of the mouse. I don't know if this is precise. But I'm still experimenting.