The best way to put up your BatBnB up on a brick surface is to still use the mounting system that was included with your purchase. However, instead of using wood screws we recommend using Tapcon masonry fasteners such as these which you should be able to pick up at any big box hardware store. Use the pre-drilled holes on the mounting bracket as a template for pre-drilling into your masonry surface.
To be sure that the mounting bracket doesn't split when the tapcons are inserted, I would widen the pre-drilled holes slightly to accommodate the diameter of the fasteners you purchase. I would also caution against overtightening the fasteners, as this could also cause the bracket to split.
In all cases, we recommend that you ensure there is adequate penetration and hold of the mounting bracket fasteners into structural material that they will support and withstand the weight of your BatBnB unit once mounted. Longer fasteners may be required to ensure proper penetration into structural material.