Yeah, I'll go along with Nevada Ed in recommending the 140 grain loads too. I just started reloading them in the last few years and they are nice shooting bullets with plenty of hitting power. The lighter bullets might give less recoil and muzzle flip though with that short barrel 627 of yours. The shortest barrel length I shoot 357 Mag in is a 3 1/2" 27-2 and it's still not hard to control even when shooting 180 grain bullets.

You also might look at buying some cheaper ammo to practice with such as PMC Bronze or Fiocchi or Prvi Partizan and save yourself some money while getting used to your revolver, since you aren't reloading evidently. You can generally find them for around $0.50/round online.