If you are just asking about that mudhole, then just yeeehaw away. Otherwise it depends on many factors including depth of water, velocity, type of bottom, exit location, vehicle preparation, etc etc. But at a minimum, make sure your engine bay is ready for the wetness since the fan can kick up a lot of water up. All your differentials, transfercase, lockers breathers should be extended above the water level too to avoid sucking in water when things compress with the temp differential.
If you dont know the depth or condition, for example WarWoman or Earls Ford crossing, walk the area first to gage stream velocity, hidden rocks that moved since last flood, and general bottom condition. Then map your way in your head and drive it. You can add a tarp (or a maxtrax for that matter) on the front of the grill to prevent water from getting through the radiator and into the fan (fan can break blades too) or remove the belts (harder to do).
Then, in general, you want to create a little bow wave in front of the vehicle and maintain enough speed to keep the wave moving and your vehicle right behind it. If in doubt, you can pre-rig your winch line or get vehicles tied together in convoy format to help each other. You can see the wave below:
This video shows them doing a few crossings too, you can see their tactics. The 80 and 60 drivers are good friends of moi.