Safer in what way? The finished product? When mixing polyurethanes, they can more dangerous than epoxy as some require special breathing equipment.
Polyurethane is going to drip as well. You can try a quick curing polyurethane, but you have to be ready to brush it and keep your piece moving. You may still have some drips, but at least you will do less babysitting of your resin. 🙂