Sorry, but I think the BPS is a ways behind the Wingmaster - not talking new Expresses, different color horse - for several reasons. The BPS is as good a design as there is out there, and they are very well built. Way tougher than a 37 and easily interchangeable parts. I had 3 BPSs and not one ever missed a beat, But, they do feel different, the reach feels different, and I hated having to load every shell thru the magazine ( and please don't tell me you can move the fore end just a little bit and do it. Not with geese in the decoys thanks).
I have had 6 Remington 870s, going back to 1974, including an early Express, and not one of them has ever stumbled either, and I greatly prefer them for their feel and lighter weight. If there is any accessory or part made anywhere for any gun, it will likely be available for an 870.
But, for clay games, I would grab an 1100 and never look back. In fact I did, 48 years ago. I give mine a five minute or less "cleaning" every time i shoot it, in fact I clean every gun if I shoot it at all, and it keeps on trucking, and nothing shoots softer. Back when I was shooting skeet competitively I didn't even have a recoil pad on it - that didn't come until the extensive pattern testing - and I mean 1000s - with very heavy loads in the late '70s and early '80s. The Berettas are more fashionable, and they do work fine, but they feel different too, and I just greatly prefer the feel of the Remingtons.
