Oh wow! I must have missed the part about the staggard hatch! It's really hard to do that without an extra incubator handy but it can be done.
If you're using an automatic turner then I would take them out of the turner on 7/2 to stop turning your first batch of eggs so that they can start getting into position for hatching but continue opening the incubator to hand turn the other eggs until you see external pips. Stop opening the incubator once you see external pips so that you don't risk shrink wrapping them. That would only leave a couple of extra days without turning for the last couple of eggs which should be just fine.
If you decide not to hand turn the other eggs and just put them all on lockdown together on 7/2 they may still be just fine. I haven't done it myself but I have a friend that has put her chicks on lockdown several days early and they still hatched successfully.
Fingers crossed for a great hatch!