My choice would be S&W model 60 with 2 1/8" or 3" tube. Steel frame reduces recoil and costs less than the scandium models. I have a model 640 (hammerless) and the recoil with .38 and light .357 ammo is not bad with the right grips.
As a close second choice, I would take the Ruger SP101 in 2 1/4" or 3" tube. A little heavier, but also helps tame recoil.
If you are looking for low budget, Taurus has decent quality for the price. Their revolvers are similar in design to S&W.
Good luck with your search.