This exact thing happened to me....I am 5'11 as well...and when i first went in I was around 268ish..wasn't quite enough the 40bmi..i was like a 37ish. Someone accidently sent it to my insurance and of course I got denied...well my doctor basically said we could try and find some co-morbities like sleep apnea or other things to see if i could qualify with a 35 bmi or i could put on a few lbs to meet the 40. I clearly didn't have any of the co-morbities thank god so i knew my only option was to put on a few lbs. My doctor hated that I had to do that and hated suggesting it but there was no other option...So i had a re-check a month and a half or so later and i was able to meet the 40 bmi. So they just re-submitted it and I was approved! Talk with your doctor, see what they say.