All applications are read holistically. I heard a good metaphor just the other day about the gmat. Having a good GMAT score is like being really tall. Being tall isn't the reason you're in the NBA, but it certainly helps! So the GMAT is only one part of a larger story, and you haven't told us enough about yours to get advice.
Thanks for the reply and the encouragement.
I will check to see if there is any more relevant part of the forum for the details / "chance me" kind of topic, and post the details here if I do not see one.
ETA: Posted in Peer Review section. Title "Profile Evaluation Would be Greatly Appreciated" (since I am not allowed to post links).
ETA 2: On the topic of GMAT experience, I can't really describe the disappointment / panic I felt when while merrily working my way through "hard" questions in the quant section, I suddenly encountered a question like (0,005)^3 = ? which indicated without a doubt that I got the previous question wrong.