I'm using the same case and screen protector. Mine is entirely/clearly adhered now after 10 (I think) days. Initially there were just 2 small bubbles that have disappeared. I like it. It feels great and says clean. Your bubbles however sound much larger than I would think is expected. I did use the squeegee quite a bit.
As far as the case goes, I got the champagne color, it looks pretty sharp.