This is more of a tip to help, not an official exact guide to getting this achievement. Unfortunately it is partially luck based so this is just to put the odds more in your favor. Here are some tips to make it easier.
Go to Options
Under the Gameplay tab select Matchmaking preferences
In the Game Mode Preferences - Multiplayer, turn off TDM-Hostage and TDM-Bomb
Now when you search for a game you should almost always get TDM-Secure Area.
The next part is luck. When the recon sequence begins, you have to be first to find the objective with the drone within 20 seconds. This can only be done while attacking. The timer starts at :45 seconds, so you must find it before it hits :25.
Listening for the enemy footsteps can also help a ton. I had better luck just going to one area I knew could spawn an objective.