It doesn't really matter.
Random thoughts on the matter, FWIW... Tyros are probably faster with the first shot from holstered with DA. More experienced users will post about the same times with either. Subsequent shots are usually faster with DA, but that time difference becomes smaller and smaller when caliber starts going up. When we get to heavy recoiling calibers like the .44, most folks are about as fast SA as DA.
A lot of folks find certain single action grips more comfortable than DA grips with heavy recoil. A lot of folks claim that the Ruger Bisley grip has no peer for controlling guns of .44 Magnum and up. I am one of them.
For defense against two legged critters the DA is the way to go, IMO, especially with the .357 Magnum. The faster follow up shots make sense, as does speed in reloading. For hunting all your shots are liable to be from single action, so DA capability becomes kind of moot, and the "load one at a time" routine is no big deal, unless you are attacked by hoards of irate ground squirrels.
Single actions have a reputation for being tougher and more reliable in the field, but Ruger DAs put lie to the notion. You'd be hard-pressed to break or wear out a Ruger regardless of action type. Smith & Wesson DAs are tougher than they are given credit for, though. Unless you are shooting many thousands of .44s through your M29 -- or using the ultra heavy loads from Buffalo Bore et al. -- the Smith will do a fine job. Colts and Colt copies are the weakest of the bunch, Freedom Arms revolvers excepted, of course -- but are still adequate for small boar and deer, in .45 Colt and .44 Special. If you really want horsepower, then a Ruger in .44, .480, or -- if you handload -- .45 Colt is the ticket.
Short version: don't worry about it. Head down to the gunshop and handle a bunch of guns in DA and SA. Pick the one that feels best to you. If you want a super tough gun buy a Ruger. If you want pretty and functional get a Smith. If you want a classic, buy a Colt or Colt clone, and if you're made of money, get a Freedom Arms.
HTH!