I have space issues too. I actually pin them to a blanket and pin it to my curtains so I can take a day or two to look at it. This is actually my favorite part of the process and the part I started out helping grandma with so I don't think I could stand skipping it.
Then I pin each row and place a label on the left block to number the rows. From there I can sew them all and only have to worry about order too much. Because I'm new I occasionally get. Row flipped, but its usually one I can easily notice and restitch.