It depends if they have a local agreement in Bishkek.
It would seem there is an exception in Almaty and in Saudi Arabia
Chauffeur Drive is only available to Business Class customers holding eligible tickets (Saudi Arabia and Almaty, C, D, J, A, P; all other routes C, D, J)
http://www.flybmi.com/bmi/en-gb/the-...onditions.aspx
So it seems you need to be in C, D or J I'm afraid