I used to drip with my M40Xs but found that dipping the atomizer into liquid is much easier, especially when driving...the bridge takes as much juice as it needs, and little precision is needed, i use a plastic soda bottle cap.
As for dripping with automatic batteries, it should be fine, but every so often take off your atomizer and wipe down your battery threads, and check if any excess juice is making its way into the threads. If your finding excess juice every time, then you're probably dripping too much juice.
Any manual battery model is usually ok for dripping, as long as the battery terminal is sealed.
You can check this by looking at the battery thread and there should be either some sort of sealant/glue, or should be machined so that there is no airflow holes.
You also might want to state what model ecig your using, as tips vary slightly between models.