The tools in Photoshop for OOG control are buggy (not accurate) and crude. It treats 1% and 100% OOG the same. It predates soft proofing introduced in 1998.
Why not do the following (I know it is not elegant, as it should be, but it allows to stay in Photoshop):
- Make a duplicate of the image
- Convert that duplicate to the destination profile.
- Shift and Drag a copy of that back onto the original as a new layer and accept the Profile mismatch warning (preserve appearance).
- Change blending mode of that layer to difference, and create an ALT + Merge Visible layer of that.
- Disable the intermediate copy, or delete it if you are confident.
- Then change that new difference layer's blending mode to e.g. Hue or Color blending.
You now have a display of the OOG areas in color on a Black and white original, with intensity as a guide to the largest differences and in which colors to do the adjustments in the original, or rather on an adjustment layer. The actual corrections may differ depending on the best remedy, maybe brightness, maybe saturation, maybe a hue shift, etc.
Made into an Action, it becomes very simple to repeat after some corrections have been made. As I said, not elegant, but accurate and it can be tuned for different situations.