For the bath, you want the 31A00-8, which wires into your OPII. You can then set it up to trigger a rule on a certain humidity value, and your rule can turn on the bath fan. Plus, you can use the temp sensor to do something like turn on a heater before you get up if the bath is cold.
Can someone else advise on the zone dampers? I don't have any, so I don't know anything about them.
Just a FYI-the install manual from HAI states:
"Each Model 31A00-8 requires one zone input on the HAI controller or Expander Module for temperature. The Model
31A00-8 can not be connected to a zone on an Expansion Enclosure (i.e. Model 17A00) for temperature. It also requires one
zone input for humidity. Run a 4-conductor wire from the controller location to each Model 31A00-8. The humidity sensor
can be used without using the temperature sensor."
As far as the dampers go I found some information in the HAI Application_Directory_04_07_03.pdf which states that the RC-80 and RC-100 Omnistat are compatiable with Trol-A-Temp TotalZone for Zoned Temperature Control. The application guide states:
"This application shows how to connect an HAI RC-80 Single Stage Heat/Cool Thermostat or a RC-100 Heat Pump Thermostat to a Trol-A-Temp TotalZoneÆ Model TZ-3 Zone Control System. The TotalZoneÆ Control Panel is a microprocessor based zoning system for automatic or manual changeover of single stage heating and cooling or heat pump systems.
The TotalZoneÆ Control System, when used with HAI Omnistats, allows any zone thermostat to call for heating and cooling. When one of the zone thermostats calls for heat and one of the other zone thermostats calls for cool, the TotalZoneÆ System will accept the first call. After that call is satisfied, or a maximum of 20 minutes elapses from the start of the opposite call, TotalZoneÆ will then switch to allow the opposite call.
Installation:
1. Equipment:
a) RC-80 Single Stage Heat/Cool Thermostats or RC-100 Heat Pump Thermostats

Trol-A-Temp TotalZoneÆ Model TZ-3 Zone Control System c) A 24VAC 40VA Power Transformer
2. Hookup for RC-80 Thermostats for Single Stage Heat/Cool applications:
a) Install each RC-80 Omnistat base in thermostat location for each temperature zone.

Connect heating/cooling equipment to TZ-3 Control System per manufacturerÃs instructions and those
found in the Trol-A-Temp TotalZoneÆ Installation Instructions. c) Connect RC-80 Thermostat to the TotalZoneÆ TZ-3 per the diagrams on following pages. d) Connect 24VAC 40VA power transformer to the TR1 and TR2 terminals on the TZ-3 Control Panel. e) All switches on the TZ-3 should be set to the Off position as shown in diagram. f) Connect thermostat to base and confirm that everything operates correctly.
3. Hookup for RC-100 Thermostats for Heat Pump applications:
a) Install each RC-100 Omnistat base in thermostat location for each temperature zone. B) Connect heating/cooling equipment to TZ-3 Control System per manufacturerÃs instructions and those
found in the Trol-A-Temp TotalZoneÆ Installation Instructions. c) Connect RC-100 Thermostat to the TotalZoneÆ TZ-3 per the diagrams on following pages. d) Connect 24VAC 40VA power transformer to the TR1 and TR2 terminals on the TZ-3 Control Panel. e) Set switch 5, 7, and 8 on the TZ-3 to the On position as shown in diagram. All other switches should be
set to the Off position. f) Connect thermostat to base and confirm that everything operates correctly.
For complete operation and connection instructions and diagrams to heating/cooling equipment and zone dampers, refer to the installation instructions supplied with the Trol-A-Temp Control System."
In addition the RC-90 Omnistat is compatible with the DuroZone SMZ for Zoned Temperature Control.
I do not know if the RC-1000 and RC-2000 Omnistats are compatible.