With the Gothic peaked fenders, and double curved bars, it looks as though it may be like a '37 or '38 Cleveland Welding Frame. It looks very much like my '36 roadmaster, but in '37 they went to the peaked fenders, and in '38 I think they ditched the little wing on the fork, and went to the flat fork like yours. That said, I've never seen them without curved truss rods. If it is a Schwinn frame, it might be a BA67 from the late 30s w/ a different fork/fender setup.
If you decide to get rid of the rear carrier, let me know.
Wes