Would it be possible to transfer schools or go one stop modular for the remainder of my training
Yes of course.
What do you think would be the job searching penalty for going off the integrated course and into modular.
Nil. As long as you have a license gained legally,
most airlines don't care how you got it. (awaits incoming - modular vs integrated debate - again
) If they do ask at interview, explain why you changed.
However have a chat with the CFI first at your current school and explain how you feel and see what happens then.
I think some of these schools often forget that as well as being a student you are also a
customer too.