Yep, I also do like mama02011. First I sew the blocks in rows, going all the way across the block on each side. Then I sew the rows together. It all comes out when you use the rag snips and looks great.
I also take my finished quilt to the laundromat, wet it, put it in the dryer without any heat til I get rid of enough of the loose threads. Of course, I have to empty the dryer frequently. Once there isn't much more threads I actually dry the quilt. Much better than clogging up my machines.
ali