MSc Econ at Warwick vs Econ History at LSE

I have an offer from each of these programs, and I am wondering what to choose.

I feel pretty forced into a master's, as I have had no luck with grad offers. I have a first in Econ at the University of Nottingham and some internships and work experiences but no big names on my CV.
Civil Service / Bank of England aligns the closest with my current goals, however I wuld honestly take anything at this point, and I am wondering if the course - I.e. pure Economics, or the University, LSE, matter more in employment terms, and how the industry generally feels about the degrees.