I've thought it would be hilarious to rig a bottle of water above a Grigri and send a steady stream on it during a long rappel, see how much steam you can make ;-) With a Grigri or similar device on a long rappel just take it slow, no problem. Devices like the Rope Runner, Bulldog Bone, or Hitchhiker are excellent for long descents and no rope hockling. ZK-2 Rope Wrench is good too. For any device or system use common sense, take it slow for the big descents.
275' rappel single line with an ATC sounds near to brutal. The current Grigri 2 is not great for big tree climbing, it's so small not much mass for transferring heat off the rope, plus the handle is flimsy. If you have an original Grigri better. If you can pick up a Petzl Rig even better. A figure 8 is better than an ATC, for both devices setting up an autoblock/back up below the device is a wise move. It gets awkward tying off a fig 8 if you want to stop in the middle of a long descent and have no contact with the tree (always the case on these big ones).
-AJ