Me personally, I find this achievement to be easier on controller. I'll be using controller buttons for the guide.
Go on the Riddler's Revenge game mode in the main menu, and select Joker's Carnival in the Challenges section. This challenge spawns enemies as time goes on, so it's perfect for the achievement
There will always be a thug on the right next to you and I recommend Ultra Stunning him (

x3) because I find that to be the most difficult when there are multiple enemies nearby.
After that, you need to go every single combat move you can do as Batman, you also have to keep a combo going, if you get hit or lose the combo at all, the run is lost.

- Strike

- Counter

x2 (Away from Enemies) - Roll

x2 (In Front of Enemy) - Redirect

x2 - Quickfire Batarang*

+

- Gound Takedown

->

x2 - Aerial Attack

->

X8 (on a Non Armored Enemy) - Beat Down (Includes the Stun)

+

- Special Combo Takedown

+

- Special Combo Multi-Ground Takedown

+

- Special Combo Disarm & Destroy

+

- Special Combo Batswarm

x3 - Ultra Stun (If you didn't use already)
*You can use any Quickfire Gadget, I find the Batarang to be the best.