Here's what I have for the S curve. Background hiss is unchanged using the OTA converter box I use on the workbench. I tried a different brand and it had much lower volume. I'll try a blonder tongue modulator next.
The bandwidth is around 4 MHZ. That's the 2nd from left section where I can make out vertical strips. The last bar is 4.5 MHz.
Vertical linearity needs a slight tweak, but the horizontal looks great.