I agree with all the others, don't give up, there are many ways to make your quilt come out nice. If you had a pattern where all the seams had to line up perfectly, I would consider just rotating them so more of the seams will not show so much if they don't line up (hidden by the common color). If all your blocks are the dimensions you described, you could sew all the (3-piece) blocks, then measure them all & trim them all to one size before continuing. I would also add some more black sashing to fill in. Here is just one idea based on the block you describe...a "Rail Fence" of sorts in a weave layout.
Rail Fence variation - weave layout
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