Many thanks for your preference for BITalino. We haven't tested such a setup, but it should be pretty straightforward with some of the resources we already have available.
The Bluetooth module used by default on BITalino works in a serial replacement (aka "transparent") mode... you'll find the baud rate and other relevant parameters regarding the communication channel configuration here:http://bitalino.com/datasheets/BT_Block_Datasheet.pdf
In turn, the firmware on the BITalino MCU is ready to receive commands and stream data "blindly" over the UART using the protocol disclosed in the data sheet available here:http://bitalino.com/datasheets/MCU_Block_Datasheet.pdf
Some time ago we released an API to facilitate the handling of tasks such as communication with the MCU and data unpacking on Arduino sketches. You can find the source code and instructions here:https://github.com/BITalinoWorld/arduino-apihttp://bitalino.com/docs/arduino-api/
Considering that Bluetooth modules are usually tethered to the UART on the Arduino, you should be able to get your desired setup up & running by doing minor tweaks to our Arduino API.
If you have any further questions don't hesitate to reach out and in case you have any outputs from your work you'd like to share with the community we'll be more than happy to share them on the website and help spread the word.
The BITalino Team