osmotic pressure causes the water to track up the roots anyway... sort of like how the end of a towel in water will cause it to "suck" up the water.. I keep my water flowing for water health/quality reasons.. Moving water is then sitting stagnant water.. Either way I'd recommend a high quality air pump..
You shouldn't even need the drip to begin with honestly. The air bubbles and a full res should be plenty for the plant. I haven't used drips in my DWC and it only takes a week for the roots to hit water in 5gal buckets.