Brian, I actually have a lot of the same issues with the press.
As I think Dave was alluding to, this is related to a form error, and is not the way that the press should feel. That being said, I've found that I think I have really weak abs, so when I do a heavy press right (i.e. don't feel low back tightness), I tend to actually get really sore abs from the strain of forcing myself to not bend back.
I've also never tried the glute squeezing thing, so that's definitely next on my agenda to try. Getting my press to not be dysfunctional has been a somewhat ongoing process for me.