Just leave the bowl(s) available. Maybe put a bowl under the bottle (catching the drips), and another somewhere else. Make sure they are filled to near the top, not just a small amount of water lower down - and refill daily.
Sometimes the type of bowl can make a difference. I tend to use the standard Mason Cash type porcelain dog / cat bowl ones with straight up sides. I've also got a similar shape in stainless steel (ie big coop cups that clip on to mesh), but they are more of a faff - they tend to get kicked around more and are a nuisance in winter when it's below zero. They can also get quite warm in this weather.