1) Try to run the water through it at a constant rate of no more than say 3" an hour. That would be 20 minutes for your 544 ml.
2) Fabricate a dripping assembly with an orifice/hole no larger than 1/32". It works better if you don't have the weight of the entire column of water pressing on the orifice. That makes it hard to regulate the flow.
You could make the dripping assembly out of a 1 liter bottle cap, and then pour the measure volume through it slowly as it empties.
Or, use a slightly larger container or dish with the hole in it, and suspend or block up the bottle inverted, say half as deep as the sidewall of the dish. If the bottle is unvented, then the dish will only fill to the level of the bottle opening and stop, until enough water has drained out the orifice.
Think of this as a small scale office water cooler.
Or, I'll rent you my
NovaLynx Tipping Bucket Calibrator, and Davis specific instructions. I include a RainWise electronic counter that the rain gauge plugs into, which keeps your calibration efforts from screwing up your console readings, and also keeps you from having to manually count the tips.
Chris