]Bucket method is where the term 'madder than a wet hen' came from.
Be careful water is not too cold as it could shock them physiologically(heart attack).
Same goes with ice in nest(frostbite).
Someone froze water in a flat half filled tupperware and put that in nest, protects from ice contact.
Crating them with food and water for a few days usually does the trick, easier on you and also less stressful for your other birds not having to deal with a cranky broody.
I use a crate, works fine.
My experience goes about like this: After her setting for 3 days and nights in the nest (or as soon as I know they are broody), I put her in a wire dog crate (24"L x 18"W x 21"H) with smaller wire on the bottom but no bedding, set up on a couple of 4x4's right in the coop or run with feed and water.
I used to let them out a couple times a day, but now just once a day in the evening(you don't have to) and she would go out into the run, drop a huge turd, race around running, take a vigorous dust bath then head back to the nest... at which point I put her back in the crate. Each time her outings would lengthen a bit, eating, drinking and scratching more and on the 3rd afternoon she stayed out of the nest and went to roost that evening...event over, back to normal tho she didn't lay for another week or two. Or take her out of crate daily very near roosting time(30-60 mins) if she goes to roost great, if she goes to nest put her back in crate.
Tho not necessary a chunk of 2x4 for a 'roost' was added to crate floor after pic was taken.