If you absolutely have to have BG, then you need LMB. LMB are really the only species that can successfully control BG.

Have you already placed your order for the BG where you cannot get out of it? If you haven't, you may want to hold off on stocking the BG just yet. Stocking BG before LMB in northern ponds usually leads to the BG getting way too large of a head start on the LMB. They spawn way too much with no LMB big enough to prey upon them. You end up with many BG getting too big for the small LMB to prey on. Those BG stock pile at 4"-5" and stunt badly. They then prey upon LMB eggs and fry, leading to poor recruitment of LMB.

I'd try to stock the LMB with the BG and preferably before your BG... Let me know what you have going on and we can work with it.