the temptation to jump in a press the boards is high....
Im in a similar position, but have said I wont press them till they are stable, evan if this mean I miss batch 1
+1 that is the best move for everyone involved. Measure twice cut once.
In Ukraine and Russia says "measure seven times, cut onec", but we have Russian "aвocь"

I think this PCB's will be work with some fixes.