and vertical banding that messing with the h-size won't get rid of.
Messing with the H-size is unlikely to help, but adjusting the monitor's "clock" setting might. (What you've got here is an interference pattern between the monitor's pixel clock and the Amiga's (or rather, GBS's) pixel clock. That's why the dithering on your workbench background seems to alternate between sharp and blurred.
You may well not have enough adjustment on the monitor's clock setting to get rid of it completely, but adjusting it might well help.