Sorry about late response.
If you haven't found the right answer yet, I think this might be useful.
CHC i80 works with SurveCE Version5 & CHC Landstar 7.
TSC3 works with SurvCE V2.62, V3, V4 & V5.
You find this info…"
I don't know too well TSC3, but it seems quite similar to other WinMobile field controllers.
The Bluetooth transceiver is 2.0+EDR compliant, suitable with the most part of GNSS new and old receivers.
So, You can connect the i-80 with…"
"If it's available in the equipment list then yes. Depends on what version of the field software is on it. Typically it's Survey Pro or whatever Trimble calls it....it's usually identical to the TDS Survey Pro."