You can tell it's getting into the late season around here.

There's a couple inherent problems with running to your stand. You'll never sound like a deer (impossible with just two legs), it'll get you boiling hot, especially after climbing into the stand which is going to dump tons of unnecessary odor into the woods, and three, running in a woods can lead to tripping (big hunting boots, not streamlined tennies), which could lead to breaking something - bow, leg, arm, etc.
Best approach: Walk like a deer, as pointed out already. A few steps, stop, few more, stop.... You'll know you've succeeded in sounding like a deer when either A.) the doves fly when you are nearly at the base of your tree, or B.) the deer that are already on their feet don't flee until you are almost on top of them. Works every time.