I know the result is a Coverlet rather than a Quilt (two layers rather than three) but it is just as long lasting, much cheaper, and MUCH quicker than the conventional method.
So I have my blocks in strips (in this case just 'bricks' of fabric joined into strips the same measurement as the width of the fleece)
I have already done the middle ones (numbered 16 to 21) and I am now joining the next two (15 and 22). I have pinned them to their next door neighbours, and to the fleece below
Then I stitch through 15, 16 and the fleece, (and 22, 21 and the fleece). I press 15 and 22 open, and repeat with 14 and 23 etc.
I'm not a great fan of heavily quilted patchworks (unless its quilting in the negative spaces - Jen, you rock!) so I'm very happy with there being no visable quilting on the surface and there is no crawling around on the floor stretching, taping, pinning, or tacking the flimsey.
And I managed two and a half tops today!