Head into Rhodes and speak to Dutch to begin the mission, boarding the wagon with Archibald after it begins. Once Archibald stops the wagon, get out and inspect the crime scene with him to learn more about the local gang here, the Lemoyne Raiders. You’ll take over the reins at this point, gallop as fast as you wish to reach the marker and dismount.
Be sure to use your horse to take any weapons you may need, a good Rifle is useful later in this mission. When given the choice on direction, choose the Left path and follow Bill through the shallow water to the first target. Be sure you don’t kill him, either approach from behind and knock him out or use Bill to perform the Takedown, either way continue across the bridge after. You’ll find one other guard here, carefully sneak up behind him and knock him out with the bottle before you hogtie him and drop him off back at the wagon.
When you’re asked to destroy the operation, equip a Dynamite and toss it in to cause an explosion that alerts more of the Lemoyne Raiders up ahead. Approach behind cover but stick back if you can to use a Rifle along with Dead Eye to score some important headshots. There’s no time limit for the Gold Medal but you’ll need to be precise with your shots and not get hit by any of theirs while also scoring 10 headshots. Be sure to make frequent use of Dead Eye for the headshots and keep an eye on your cover for Raiders that may rush your location.
Following their deaths, Dutch will send Bill on his way with the wagon of moonshine and then offer you a race back to camp. Accept the invitation, you’ll need to carefully maintain your speed to beat Dutch (or use a Horse Stimulant) and note that he picks up the speed in the final stretch before the camp. This race is winnable even with the cheapest horse available (the Morgan) from the Valentine Stables.