You might be able to set up a Macro to enable/disable Direct Monitoring (not sure honestly).
You could try turning off Direct Monitoring and then in the mixer go to the “Hardware” tab in the Rack for the input channel.
There, you can quickly select where the sound is taken from in the hardware’s channel strip. Before the DSP effects, if your going to use Amplitube or after the DSP effects if you want to use those. Not sure if that does what you asking for but try playing around with it.