I don't see how that would be a valid concern. With regard to the cabinet(s), the aspect that could "push the head past its capabilities" is impedance, not the number or size of speakers. Keeping the impedance in the range that's safe for the operation of the amp effectively works as a governor. For this amp, that's 4 ohms or above. Going below the safe range for the amp creates the potential for it to "overwork" with negative consequences.
With an 8 ohm cabinet (whether 1x10, 1x12, 2x10, 2x12, 4x10, 4x12, 4x15, 4x18 etc.), as long as there's no complaint from either piece of gear heard (in the form of distortion or other negative sounds), you should be able to dime the master on the BH250 and have at it, to your heart's content.
The 400 watts referred to on the cabinet is a power handling (limit/capability) rating, not some sort or draw/suck or requirement or "matching" recommendation.
Without some kind of extreme EQing, it's likely that the BH250 would be able to be dimed into this cabinet and be fine.