Good question. The DT770 is very good, a friend of mine had one. Comfy pads, good bass. Not a neutral can (but this can be fine, really depends on music choices and listening volume).
Heard the DT1770 is up there among Beyerdynamic's best efforts, and others say it isn't that much of jump over then 770 to warrant the new price. I haven't heard it. Looks pretty awesome though.
Be aware with DT770 if the different ohm versions.
https://diyaudioheaven.wordpress.com/headphones/measurements/brands-a-i/dt770-pro-250ω/
http://nwavguy.blogspot.ca/2011/04/beyerdynamic-dt-770-pro-80-review.html
info on impedance
http://nwavguy.blogspot.ca/2011/02/headphone-amp-impedance.html
DT1770 measurements
https://diyaudioheaven.wordpress.com/headphones/measurements/brands-a-i/dt-1770-pro/
Personally, I'm digging the 630VB
because of the of variable bass. It also is very well engineered, doesn't shy away from the high-end though still rolls off (unlike Denon Ah-D2000) at the highest treble. Many closed cans don't balance the highs very well
and deliver bass. The 630VB does both, with technical performance that rivals / exceed HD650-level headphones. Denon AH-D2000 and its Fostex brethren TH-610, TH-6XX are all really good. But they may not have enough bass for you and perhaps too bright/analytical of treble.
The Shure is a good bet though. You can't adjust comfort, and that is an area that is so important.