Climate when target_temp_register don't have scale, but input address does

[os11k (Jurijs I)]

This is my current climate configuration:

    climates:
      - name: vtr200b_temp
        address: 207
        slave: 1
        offset: 0
        max_temp: 11
        min_temp: 1
        temp_step: 1
        target_temp_register: 206

Problem with it is that I need to write 1-11 values to 206 modbus address what is 13-22 degrees respectively, but 207 address return temperature with scale.

Here is a printscreen to illustrate a problem:

If I will add scale to my climate configuration, it will change 200 to 20, but will try to set temperature to value outside 1-11. Additionally would be nice to have target temperature not 9, but 20.

At the end this is what I would like to achieve:

Any suggestions or ideas would be greatly appreciated! Thank you!

[os11k (Jurijs I)]

I ended up with input_number like this:

input_number:
  vtr200b_temperature:
    name: Temperature
    min: 11
    max: 22
    step: 1
    mode: slider
    unit_of_measurement: °C
    icon: mdi:thermometer

script:
  write_temperature:
    sequence:
      - service: modbus.write_register
        data_template:
          hub: vtr200b
          unit: 1
          address: 206
          value: "{{ states('input_number.vtr200b_temperature') | int - 11}}"
      - service: script.turn_on
        entity_id: script.write_nvm

  write_nvm:
    sequence:
      - delay: "00:00:02"
      - service: modbus.write_register
        data_template:
          hub: vtr200b
          unit: 1
          address: 548
          value: 165

automation:
  - alias: "Temp slider set"
    trigger:
      platform: state
      entity_id: sensor.vtr200b_reg_hc_temp_sp
    action:
      service: input_number.set_value
      target:
        entity_id: input_number.vtr200b_temperature
      data:
        value: "{{ states('sensor.vtr200b_reg_hc_temp_sp') | int }}"

  - alias: "Temp slider moved"
    trigger:
      platform: state
      entity_id: input_number.vtr200b_temperature
    action:
      service: script.turn_on
      entity_id: script.write_temperature

Probably best solution would be to use generic_thermostat, but I did’t get how to remove on/off buttons and heat mode from there…