Honestly I make the dripper holes larger if my bottles come with them. The reason being it is easier to measure (YMMV) the amount that comes out with your finger over the hole. I actually pour more with the dripper because I shake too much out....go figure.
Dominicana Bay Rum is pretty much a beer bottle and can be tricky but it is quite nice.
Using your finger to control the flow out of the bottle is probably the easiest method. Alternatively, you can transfer some of the A/S to an atomizer. I use this method for witch hazel.