DI w/cab sim to pair with Viva Analog 360+ preamp

I'm looking for a DI that has a cab sim to pair with my 360+ preamp pedal. I'm running the 360+ into my amp's power section via the effects loop for one of the amp's two channels. I'd like a DI that I can keep on my pedal board and would like to avoid running it between my amp and cab because I want to use the second channel on my amp for my own personal stage monitoring without it affecting the signal going to FOH.

I'm interested in the Palmer PDI-09 but I'm not sure if it will work for this.

Here's the signal chain I'd like to be running:

Bass > Tuner > OD > Distortion > Comp > Radial Twin City ABY >
Channel 1 > 360+ > DI > FOH/Channel 1 effects return on amp
Channel 2 > Channel 2 input on amp

My intention is to only use channel two on my amp if I need to boost more stage volume during the gig without affecting the 360+ preamp signal feeding FOH.