This is absolutely doable! In Studio One Artist, you'll create two tracks: one for your click and one for your backing track. Once you've got your tracks created, pan the click track hard left and the backing track hard right. Then, from the back of your AudioBox, send the signal from Main Out Left and Main Out R to the sound guy/mixer at Front Of House. To do this, you'll want to have 2 1/4" cables, 2 DI Boxes, and 2 XLR (Microphone) cables. Plug each 1/4" cable into each Main Out output on the back of your AudioBox, plug the other end of each 1/4" cable into the input of each DI box, plug each XLR cable into the output of each DI box, and send the other end of each XLR cable to your sound guy.
At this point, your sound guy will have two channels being sent to them: one with just a click track on it, one with just a backing track on it. Make sure they know not to send the click track through the main speakers. From there, just mix those two channels into your monitor mix as you desire and you're good to go.