Both transfer bar and hammer-block systems will prevent ADs/NDs connected with hammer impacts, snags and inadvertant releases, so long as the "finger off trigger" safety drill is followed.
Some single action revolvers have transfer bar systems that are as effective as anything found on DA/DAO wheelguns. All Rugers post-1973 have such, and earlier are usually found retrofitted via Ruger's free transfer bar upgrade program. The Colt Cowboy is basically SAA-sized and has a transfer bar (and a poor rep); Beretta's new Stampede is the same basic concept but at least by first accounts, is executed better.
"True SAA clones" include the USAF Rodeo and such have NO internal safety (load it five up, drop hammer on an empty cylinder). Most Italian clones (AWA, Armi San Marco, the Ubertis except for the Stampede, Cimarrons, etc) must also be treated like an original SAA.
Freedom Arms 97 series have a transfer bar system as good as Ruger's. The 83 series has a hammer block; FA says it's not safe enough for fully loaded carry...I have no idea whether that's reality, or what FA's lawyers made 'em say.
DAs: S&W revised their hammer block system during WW2 to avoid accidental discharges. Any post-war gun is 100% safe...pre-war, well, I wouldn't CCW such a thing. Colt's system was quite good at least by the time the Python came along (1950s); dunno if earlier specimens had problems or not. All Charter Arms have Ruger-derived transfer bars (designer came over from Ruger), all Ruger DAs have rock-solid safeties, Tauruses and Rossis are OK although I'd check the functioning of the safety esp. on earlier models.
Transfer bars are theoretically slightly safer than hammer blocks but the difference is so miniscule I wouldn't worry about it. Hammer block systems can run with a mainspring about 20% - 25% lighter than what's needed for a transfer bar, which is why classic S&Ws can have nicer trigger feels than more recent specimens or Rugers.
The "revolver checkout thread" stickied to the revolver forum discusses how to make sure the internal safety of a revolver is working. The same test works on transfer bar and hammer-block systems.