Primeape! My man!
Primeape @ Expert Belt
Trait: Vital Spirit
EVs: 252 Spd / 252 Atk / 4 Def
Jolly Nature
-Close Combat
-Punishment/U-turn
-Encore
-Ice Punch/Stone Edge
Alright, when considering Primeape's typical counters, you think of a) Pokemon like Musharna and b) anything that can take whatever it locks itself into. Basically, this set bypasses the worries of locking yourself into a move, and it allows you to bluff a choice set with Expert Belt. Once your opponent switches in his Scolipede on a Close Combat, you can Stone Edge or Ice Punch as he sets up Spikes. When they try to bring in Piloswine on an Ice Punch or Stone Edge, you can smack it with a powerful Expert Belt boosted Close Combat. This alone allows it to handle a lot more than it can with a typical Choice Scarf.
The real beauty of the set though is how it handles its number one counter, Musharna. If your opponent switched it in on a Close Combat, you can stay in anticipating a Calm Mind, Encore them into it the following turn, and then hit it with Punishment which gets stronger with every Calm Mind boost. The best part about it is that even if you Encore the Musharna into Moonlight, because you are faster, you can Encore it again once the first Encore ends and proceed to stall the Musharna out of all eight Moonlights should they choose to stay in. Also, Punishment allows you to revenge Musharna with some previous damage. So even if you don't feel safe switching in, allowing it to set up can actually be a
good thing as the more it sets up, the more likely it is to be punished (get it... haha... no? k).
As Cherub Agent mentioned, U-turn can also be used in place of Punishment as Encore forces a lot of switches. This allows you to force switches against would-be counters and get your own switch initiative. Generally, if you are looking more to beat Musharna, Punishment is probably the better option in my opinion. Otherwise, U-turn works out really well it is spot. This way, you have the option to beat your counters in specific while also maintaining a really fun and viable set.
Encore comes in handy in many other niche situations as well. If your opponent is using Stealth Rock, you may choose to Encore the Pokemon into it, keeping you safe to wail on it or whatever comes in. Status moves such as Toxic and Will-o-wisp, which are unfortunate to take with Primeape, can be Encored, giving you the opportunity to hit until you die and can manage a safe switch or to switch into a Fire-type to take burns or a Steel or Poison-type to take a Toxic. You can even Encore Substitutes, giving you the chance to handle the Pokemon without giving it a free sub!
This set works arguably better than the Choice Scarf set anyways because locking yourself into Close Combat is fairly difficult to do with Alomomola, Misdreavus, Musharna, Scolipede, and Golurk all so common within the tier. It's much easier for a Choice Banded Sawk to do as it has so much power behind it alongside Mold Breaker that even things that resist it don't often appreciate taking a hit.