For newer players, the best bet to get this achievement seems to be the Countdown to Extinction game mode while playing as a Soldier. This is a "Bomb Da Base" game mode where the first team who manages to take a neutral bomb into the enemy base and detonate it 3 times wins.
If a bomb you planted goes off, you get a lot of points (especially if the enemy team is trying to defuse it when it goes off). Soldiers have the longest lifebars. Therefore, it is most likely that you will be able to plant the bomb if you can grab it as a soldier. If you manage 2 detonations in a match, you are pretty much guaranteed to get MVP. If you get a single plant and no one else manages to get 2, then the soldiers heavier weapons can also greatly help in getting enough kills to still manage MVP. When holding the bomb, you cannot fire weapons, if you transform you drop it, and you're melee becomes an instant kill; try to keep all of these facts in mind.