I've got a 605 myself and while it currently wears a set of Crimson trace grips I have thought about going with a nice set of wood just to have them, I also have a longer set of boot grips for it and those really help with the recoil when shooting 357's. Hopefully someone will chime in with some pics or links although I think the Smith grips will fit?????
Smith Grips will not fit. The old Taurus Wood Grips (I think) will fit. I put the Taurus rubber Combat Grips on my 605. They are a little longer and slimmer than the short hard rubber Grips. The Combat Grips reduce felt recoil better and give more room for a Speed Loader than the Pachmayr Grips. The Pachmayrs felt good but it is to hard to use a Speed Loader.
I don't think the wood grips add too much beyond the rubber ones, but the wood is nice because it has less of a tendency to "grab" your shirt. However, in the picture above, those grips are the three finger groove style and they replaced the smaller "boot" grips. The larger grips are often called "combat grips." If you go with the longer combat grips, expect it to take a little more effort to conceal.
They have all kinds of grips, I replaced the stock rubber grips on my 608. They look and feel awesome. I am not sure they will fit your budget range though. But, they are worth every penny and have awesome quality.
I have some pearlite grips for a round butt Rossi (haven't made a round butt in years) that I mistakenly bought off ebay. I was going to fit them to my M85, but there's a big hole in the frame on the Taurus these grips didn't cover, so I gave up that idea. Prefer the rubber for shooting anyway, just thought it'd be fun to pimp it out. I have pearlite on a little M68. When I got the round butt grips in and saw they didn't fit, I just broke down and ordered some for forty bucks from Ajax. Really, one pimp gun is enough, LOL!
I ordered from Taurus checkered wood grips for my 85ssul. I replaced the laser grips and it made it lighter and slimed down the profile. Taurus also has the rosewood grips. Their prices are better than any third party. Check'em out.
Like BoneDigger, I got some laminate wood combat grips from grips4guns, for my 605. I like looks and I find the thicker wood grip makes the recoil more manageable. Therefore I find I put more holes in the target in DA mode.