Creeks in our area are used alot. Deer will come in and drink while crossing.
I have not seen them walk up or down a creek for any long distance.
They seem to cross them rather fast...not lingering in the day time. I feel that they feel more nervous in the open in daylight...
If you set up on a crossing try to place your stand where you will be able to see the deer as he approaches the crossing. Bucks will tend to check things out before walking into the open.
Only hunt it when the wind is blowing in vour face.
Ideally... pick a route to bring you in where you don't cross his path and will be facing the predominate wind direction.