I'm running a reverb stealth on a spark. I drilled a hole in the access cover for the internal cable routing and ran the hydraulic hose next to the rear brake line. I can post pics if you want me to.
I did pretty much the same thing. After doing a OneUp 1x conversion, the FD stop on the access cover was left unused. I drilled out the stop to allow the hose to pass through. Then I ran the hose along the brake line. To complete the conversion I used a "right hand" remote, which I run upside down in the position where my front shifter used to be. Overall it's a pretty clean set up.