I got my wife a 38 LCRx. The gun is very light and she was very displeased at the recoil from my first batch of ammo using a starting charge and 120 gr bullets.
I played around a bunch and found a she was happy with my lightest bullet, a Lee 102 RN (mine drop at 108), pushed to around 615 fps using TG or Red Dot. Since I started loading them for her, I found them to be more than adequate for a lot of my shooting. This includes 4 different handguns and one rifle. I have loaded thousands of these and they work great.
If you really want help, tell us the lightest bullet you are willing to use, and tell us the powders you have available. Someone will probably chime in with a proven load and/or someone like me will use Quickload to come up with something.
Alternately, you may find a nice load at the link below. I saw some 120s and 125s with posted velocities under 600 fps.
https://shootersreference.com/reloadingdata/38-special/