We have 5 hens- they came from a farm, no pedigree, bit of bantam in them I think, renowned for broodiness.
Ours definitely aren't bored- they're out all day long roaming free, but they do get broody.
The only problem we had was with Stevie hen, who went broody outside under a hedge- twice- (and different ones) and we thought she was missing. Eventually she came back for some food and then we followed her to where she was laying.
Also, if ours are broody inside the hen house, the others don't like going in to lay.
I leave them to it generally. I just lift them out twice a day for food and drink and let them get on with it
But if it goes beyond 2 weeks or so and I'm fed up of it, I chuck her out, block up the henhouse door so she can't get back in and hope she snaps out of it.
Usually works
J xxxx