I can't picture what this quilt will look like with an even number of rows, but I had a bright idea. I hopped out of bed and tried pinning the centers to see what the center of four joined blocks would look like.Maybe it will look like diagonals from the center four patch, like Wanda said.I can't tell if that is better or worse than the checkerboard using an uneven number of rows. It's just hard to tell with everything the same color.
I made another block. I still can't see what the overall effect will be. It does look different, which gives it a half a point in its direction. It doesn't look worse, so I will continue.
I even put it against a mirror to see if that helps me "see" it. Probably surrounding a block will give me the best idea, but if I am going to make that many blocks, just running with even rows and hope for the best sounds better to me.