I would also consider looking at your pedal order and EQ settings first, if i were using that setup I would be going;
Compressor, Pitchfork, AfterShock, EQ, Mobius, Nemisis
For the EQ I would experiment with your settings a bit more as your current settings aren't ideal for punch.
As for a DI, completely depends on which one you choose as they have different uses. A plain DI does nothing but send a balanced signal to FOH/desk where as something like a sansamp adds a lot more flavour and utility.