if the BSP is slave, try using the start command from Ableton not the BSP..you may need to fiddle in MIDI control centre to make it work, you may not. How is BSP connected to your computer?
MIDI can need between 5-20ms delay in Logic too depending upon how busy my track is so that's quite normal within a DAW..on an empty track I don't need to delay at all, but as soon as I start adding VSTIs etc the delay needs to be increased...MIDI is too fast for modern DAWs hehe