5 shot .44magnum revolvers for hunting/outdoor use....
As posted, I'd think you could find a single action 5 cylinder .44magnum Freedom Arms or maybe a BFR(Kahr Arms). I don't see the major difference between a 5 & 6 shot .44magnum. Many gunners & hunters like the robust Ruger Super RedHawk .44 & .454 line.
I'm not a handgun hunter but I'd look at a BFR, Freedom Arms .454 or Ruger Super RedHawk for most game.
In PA, the state game commission mandates only 3 rounds in the chamber(for hunting).