Just got my Babyface and I'm very happy with everything. Just one thing I can't work out.

I have applied the sample pitch +3.89% in settings and prefer the overall creative detuning this gives to a session I have on Cubase 6.
When I mix the session down the final audio is staying in my case at the original 44.1 , so if this is played on any other computer it is back to original tuning. I'd like the pitched change as final mixdown.
Is this possible as I obviously can't change the sample clock in Cubase other than to the usual 44,48,96,192 etc where as this is fine tuned to in between those?
Or can this detuned output be routed back in and recorded live?