Taurus does make the 605 with a 3 " barrel.
I didn't buy a Taurus 605 to shoot 357 mag. I shoot a warm 38 Spcl loads but chambering a 357 mag round does give you options. I have had, I think six Taurus revolvers and have had good service from them.
Texas, my buddy had a Rossi 38 like yours, very accurate and shot to POA. He actually shot a couple squirrels with it.