Now that reachview supports coordinate systems other than WSG84, I can keep the survey in the native coordinate system (around here usually 3TM or UTM). However, when starting a new project, there is a nice informative line at the bottom that says “Make sure your base or NTRIP is in NAD83”. I don’t see any option to change that in the base settings.
I am unable to find a way to actually input any other coordinate system in the base when setting up on a known point.
At this point, I have got the system working by converting the base into WGS84 Lat/Long, however that is a HUGE source of potential error if the conversion is not perfect.