Hello,
The connected USB device would be visible in /dev/ folder. However, there is no guarantee that out of the box, the router will support the USB controller as there might be a need for a driver.
Later on, you can definitely install python on the device and make a program that will communicate with the OBD recorder.
Alternatively, you can use a service such as VirtualHere which would allow you to access the USB device remotely and use it on the server as if it was connected to the server directly.