Adstrin,
you should probably check to see if you are flinching first thing. It sounds as though you are new to shooting handguns that have signifigant recoil. If you are shooting 1-2" groups offhand at 25 yds, you're doing OK. You will not see the accuracy of a good rifle from a revolver off a rest, let alone standing, end of story. Limit your hunting distance to the point where you can keep ALL of your shots, EVERY time you shoot, in a 8" circle (paper plate is commonly used). This will take most of of the danger out of wounding an animal, unless the "buck fever" is too much of an influence. If you can do that at 100yds with a rest, you're doing pretty well. If you can do that at 50yds without support, you're doing very well.
Another point, A Redhawk with a 9" barrel and scope is one large peice of iron! Unless you have very strong shoulder muscles to hold this beast in the air, your shooting will diminish early on in the practice session until you become acclimated to the weight. Practice, and plenty of it, is the ONLY thing that will make you a better shot with a handgun of any description. If you don't intend to shoot game much past 50yds, I'd take the scope off of it and use the iron sights and practice alot. I like to practice about 90% offhand, and 10% supported when using a revolver intended to be shot at 50yds or less. The 10% supported is to determine how the revovler/pistol needs to be supported in order to prevent change in point of impact. It also fun to put the revolver on a good rest and try to kill clay pigeons at 100yds. The better you can shoot offhand, the better shot you will be in any other situation as far as I've seen. I've seen many benchrest wizards with a rifle who have no problem shooting sub moa groups all day long, get them to stand up and shoot offhand and they are hard pressed to keep 5 shots on a paper plate at 100yds.
I would not give up on your Redhawk in favor of a TC. Your Redhawk, with iron sights actually has a longer sighting plane than a 10" TC. Is the TC more accurate? In almost every situation, yes. Out to 100yds, that's pretty much of a moot point since your Redhawk should be able to shoot 4" or less groups at 100yds with a good load. It may even weigh a little less and be easier to pack around, unless you put a scope on it. The 10" TC in .44 Mag has recoil that I consider BRUTAL when shooting full power 300gr loads, and it's not that much more pleasant with the 240's at full steam. The TC provides a substantial increase in velocity over revovlers even when the barrel length is similar, and a proportionate increase in recoil to go along with it. I shoot single shot pistols, for hunting and target shooting, and it's more like shooting a rifle than a pistol. Many uninformed people don't really even consider it "handgun hunting"
