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I've even tried blasting the ink with a hot hair dryer thinking maybe it would set since the paper is designed to set ink with heat. It didn't work. The ink still ran after hours of dry time when watercolor was applied. It was frustrating.
The Sharpie ink performed like a champ. After I finished doodling I capped the pen and started slathering paint immediately. No bleeding at all. Fabulous!
The only drawback is the ink in the Sharpie Grip pen has a grayish-green cast to it. The Sharpie stick writing pen ink is crisper and blacker. But they aren't any fun to draw with. Blech.