Two things are now gone, as promised in my previous post. One is the long pink strip to which I gave serious consideration. In the end I decided that it wasn't adding anything, so out it goes. In fact I like the way the black and pink checked pieces sit up against each other much better without it interrupting.
The other thing that went was a little piece at the bottom of the left-hand side, where I had added two horizontal rows. Off they came - this piece seems to be working better if I stick with the vertical, although changing directions worked well for me in my last Coins quilt.
This is the current state of play.
Cutting freehand produces strips with a lot of curve in them, so at some point that pink may be to go back in to help straighten things out but for now I'm just sewing together smaller sections and not worrying overmuch about the technicalities of construction.
I seem to have gone over the course of about a week from groping around looking for answers to having a pretty clear idea of what I think I'm doing. This feels good, though I'm not taking anything for granted - next week I may well be stumped again.