I want to become so comfortable carrying a pistol that it is second nature. I hope I can get there with the LCP. Or find that elusive LCP-size pistol with a safety that flips up to fire.
I know it's not LCP sized, but have you looked at PX4 subcompact? It has same safety as 92fs and px4 (slide mounted flip up to fire), 9mm, holds 13+1. From my experience, it's very soft shooting gun for such small size.
Dimension wise, it's about inch longer and taller than LCP, and .3 inches wider at grip. While it may not be the size you are looking for, it does fit all other criteria which could work for you.