It's frequently mentioned in discussions like this, but I really have to chime in and say that I absolutely love Big River. It's certainly not the best show that's ever been written, but I think the score is great and the show overall is, surprisingly, very touching. I think one of its best features is how well the score works with the source material. I wish there were more bluegrass-inspired scores out there.
I've only seen the Encores! production of Applause, but what a not-great show. I thoroughly enjoyed that production, but I definitely think it's the worst show (not production) I've seen at Encores.
When I see the phrase "the ____ estate", I imagine a vast mansion in the country full of monocled men and high-collared women receiving letters about productions across the country and doing spit-takes at whatever they contain.
-Kad