Easiest way to do this IMO would be:
Set Monitor output to stack. Send this to your recording system via 1/4".
Set Main outputs to DLY/REV Wet, which will give you just the stereo delay and reverb after the amp stack.
That way you will hear the delay and reverb while tracking, and you can adjust its level later in the mix (or remove it completely).
This can also be done with the SPDIF outputs, so mix and match to find the best solution for you. For example, when I track I like to do it this way:
SPDIF outputs: Git/Stack
Main outputs: DLY/REV wet
I record the the SDPIF outputs to two separate mono tracks in my DAW. One is just a pure DI in case I want to reamp later. The other is the Stack, my main "amp" signal. The Main outputs are recorded to a stereo track in the DAW. I group these tracks together for editing, so even if I punch in, comp takes, etc. it will all work together. This is a really nice workflow, and clients I record tracks for love the flexibility for mixing on their end. The only drawback is that you have to use delay and reverb after the amp stack for this to work - any effects in front of the amp (stomps) will be printed as part of the Stack signal.