I can't imagine that blocking at this phase will improve the knitting in any way. Unless I'm missing something about the technique you're using. You're just picking up stitches? You'll still be picking up the same stitches in the same places no matter what, right? So, you might as well wait and block it all together at the end, I would think.
But I should warn you, blocking is my weak point! I hate blocking and avoid it whenever possible!! LOL.