I have a 342 M&P, weighing 13.3 ounces as well. Using Speer Gold Dot 135 grain +P SHORT BARREL ammo was made specifically for these light guns. The recoil is less, and the velocity is about 150fps less then a .357 magnum.
The recoil is hard, so accept the reality that taking the weapon out and shooting 200 rounds at the range is not realistic. The weapon is an "oh sheet!" gun, and learning marksmanship, as you would with a duty weapon is not as important as combat techniques and firing the weapon up close and personal.
Here's and excellent sight for these j-frame revolvers:
POSA Video Network at Officer.com -- Defensive Snub Revolver - part1