It is going to be a little hard to run from your hotel. Grapevine hasn't got around to hooking up that area with their trail system. You would have to run down the grass on the side of the road for a mile or two to get anywhere.
Here is a link to Grapevine Trails (mostly paved).
There is a good trail on the other side of the damn from you. (The North Shore Trail) It would be about a 5 mile drive. (running over the damn would be a challenge.) Grapevine is charging to park at the closest trailhead -Rockledge. There are other trailheads.
Our local trail running club has a link to that.
Or, of course you are welcome to come run with us either Saturday or Sunday at 8AM