I’ve been using Sent/Cable/BH for just shy of two years, to a point that many people call it “Team StiltMan” in the northwest. IMO, Sent-A is the better assist to work with. It’s not as vulnerable to the rush as people think it is; Sentinel can protect himself from the rush quite well, Cable/Sent-A can protect itself from the rush, and BH himself has good enough pokes and space control that he shouldn’t be getting rushed too often either. BH/Sent/Commando is a bit stronger against the rush, but Sent-A/Cable/BH is considerably stronger against turtles. Cable and BH both like having Sent-A to punish assists, set things up, and to combo stuff too much for me to ever consider going back to Sent-Y for that team. If I’ve got Team Scrub or Team Watts, I’ll go with Sent-Y… for Sent/Cable/BH, Sent-A is about the only way to go.
BH/Cable/Commando is also a team I’ve used for a while, usually as a counter to Team Scrub. When I use this, I always start Cable, I jump around as much as possible. I don’t call BH unless it’s a fairly clear shot, and I never call Commando first unless I’ve got a flying Sentinel directly overhead. If they start Sentinel it can get a little nerve-wracking, but if you keep on the move and don’t ever give him a moving target then there generally isn’t a good way that Sentinel can attack you without putting either himself or Commando in harm’s way. If Cable runs enough on this team Sentinel’s only real way of chasing him down is to try to keep him on the ground with Commando, which (if you don’t get hit) usually gets their Commando killed because yours pounds on it all day and eventually Cable can finish him off without using much meter. If they start Cable, then you have to stare him down – whoever wins that Cable fight will usually get an OCV for the match. Cable/BH/Commando tends to mess up most opposing Cables, though, because the book on fighting Cable typically says that you need to play a vertical game of super jumping to stay out of the other’s AHVB reach, and BH’s assist disrupts that so thoroughly that the vast majority of Cable players simply don’t know what to do when you take it away from them. Sentinel’s drones are not going to throw this off too often unless the other Cable more or less tries to rush you down with it, in which case you run and create openings however you can. Cable/BH/Commando, if you play it very cool and very passive, give them as few attack angles that you have to block as possible and let it come to you, will very frequently OCV a Team Scrub player. However, you have to play it really, really passive for it to work; if you try to get too aggressive with it, Team Scrub can seize the advantage much more easily.
BH/Cable/Commando does not usually beat Magneto under any circumstances, which is why I only use this team as a counter to Team Scrub. BH has nothing but AAAs, demons, and pokes to keep Magneto away, and that just doesn’t work on a good Magneto; you need both an AAA and a decent projectile assist to fight Magneto with BH effectively. BH/Sent/Commando, for instance, works far better on Magneto than BH/Cable/Commando does.
BH against Cable pretty much requires that you have Commando around and stay in his face as much as possible. You either have to psyche him out in a mind game or you’re basically hosed. Very few BH players realize that BH can do much against Cable – his pokes are considerably superior and he’s a lot more mobile than Cable is, so this match is by no means free. Unfortunately, most BHs don’t know much more than “throw demons and inferno/HOD”. That kind of BH will indeed lose to Cable for free. A more patient one that stays in Cable’s face and threatens him constantly with Commando breathing down his neck can get a lot farther.
For game film, the prototype BH player that you should start from to see how it’s done was, and still is, Alex Valle in his Team Watts days. Nobody before or since has really ever been taped in any decent amount doing it better. If you can find things like B5 film and stuff from 2001 when he was in practice and winning tournaments with Team Watts, download it and study that stuff, because he’s still the best BH you will find in game film anywhere.