Personally I took Columbia off my list, but then again, you have a little better PGRE score and GPA and a little more in-depth research experience, so it's hard to say for sure. I'm guessing it might be a stretch but if it's a school that's a really good fit for you, you might want to keep it on your list. If you're not sure it's a good fit for you anyway, no harm in saving the app fee; the other schools on your list are certainly reputable and probably more doable.
I did also send a couple emails to profs at other schools explaining my situation and asking if they thought there was anyway their admissions could see past my PGRE score based on other strengths I had to offer, and I did receive some responses. One of them was from a prof at one of the schools on your list and it was not very encouraging since they apparently got more new students last year than what they were looking to add and as a result are now looking to add fewer than in the past, and they apparently place some emphasis on the PGRE. Send me a private message if you want more details on that particular school and what the lowest PGRE score was of any student admitted there in the past two years according to this professor.
*BUT* there's not necessarily a rhyme or reason as to which schools place more or less emphasis on the PGRE from what I can tell. One of my professors today told me that at my school which is ranked 48th, he is sometimes on the admissions committee. He told me a story of an applicant whose PGRE score was in the 10th percentile (!) but the rest application was good and they were willing to extend the applicant an offer, only to find to their surprise a few weeks later that the applicant declined, having taken an offer from Cornell (!). So it's not as if it's impossible to get into pretty prestigious schools with a low PGRE score; it just might make it more difficult and less likely. But the more you can spin your application to emphasize the strong points, the better your chances are.
Also, I should say that if your undergraduate institution has a good reputation, that would certainly help you, as would being of a traditionally underrepresented group... Just things to keep in mind if they apply to you...