This mission begins on a raft, with you controlling Carmelita Fox. Focus your reticule with L1 and then fire with R1. If the raft takes too much damage, then you will fail and have to restart from the last checkpoint. At first, the only enemies encountered will be the big enemies, who fire a gatling gun, which can do quick and heavy damage to the raft. You can easily spot these as red dots on your mini-map, so pay close attention.
After all the enemies are cleared in the first area, focus fire on the marker on your screen, which will destroy the wooden blockade. Some TNT barrels will be in the water once it's destroyed, so take them out before you hit them. When you get to the second area, all enemies will appear on the bridge ahead. There will be two big enemies who respawn a few times, as well as two smaller ones that throw sticks of dynamite. Focus on the big guys and the sticks of dynamite, then worry about the little guys after.
Once all enemies are finished, you'll take control of Tennessee. Climb up the hooks and across, landing on the railing. You'll be in a small area with some big enemies, which can be killed easily by using Crackshot. There are some lasers in the way, including some Crackshot targets, which reveals more lasers. Hit the switch behind the second set to disable them, then take out the rest of the enemies. Pull the switch, then use the rope to get back to the raft.
As soon as the raft begins moving again, take out the TNT barrels in the water. When you stop, you'll encounter more dynamite-chucking enemies on the right and once they're finished, more will spawn on the left. Once all enemies are gone, destroy the next wooden blockade. The raft will stop again and you'll be back controlling Tennessee.
Use the railings and rope to get up to the area with enemies. Take out the first enemy at the top of the stairs, then the next on top of the crate. You'll need to get on top of the crates to continue, so use Crackshot on the three targets to make room. With a well-placed Crackshot, you can take out the next two enemies and the three targets covering the panel to shut down the lasers. There's one last enemy standing before you and the switch, so shoot him, pull the switch and get back to the raft.
For this rafting expedition, there will be plenty of TNT barrels in the water, but you'll also need to fend off some dynamite-throwing enemies after passing through the gate. This is annoying since the raft doesn't stop, so be quick and precise with your shooting. On the bridge in the back, two big guys will come out to play. Once you reach the next platform, the raft will stop again.
Climb up and approach the door to go inside. Here, you'll have to fend off enemies who respawn infinitely, while using Crackshot to hit the four targets on all sides of the cage where Sly, Bentley and Murray are being held. The enemies that keep spawning are the dynamite ones, so keep a lookout for red dots on your map. Once you hit all four targets, the cage will drop and the mission will end.