I'm not LEO, but I do have two snubs that get carried pretty regularly. In my S&W M36, I load Remington 158gr LSWCHP +P. When I first bought the gun, I loaded it with Speer 135gr Short Barrel Gold Dots and they were fine with the exception that they shot rather low. My revolver's sights seem to be regulated for 158gr bullets and the Remington version has the best reputation amongst the "FBI Loads".
My other snub is a S&W M66 with a 2 1/2" barrel. It gets loaded with Remington .357 Magnum 158gr SJHP. I chose this loading because I rather like the expansion characteristics of the scalloped jacket on Remington's SJHP bullet and because the 158gr weight is more gentle on the forcing cone of a S&W K-Frame.
While I no longer own them, I've also previously carried a Colt Cobra and Taurus 445 in .38 Special and .44 Special respectively. In the Colt, I used Hornady 110gr Critical Defense as that was the only expanding standard pressure .38 Special loading I could get which displayed both reliable expansion and decent penetration. I carried a few different loading in the Taurus but if I had it still I'd probably be carrying Blazer 200gr Gold Dots. I would choose these because they seem to have the most reliable expansion from a short barrel and because they're less expensive than the brass-cased Speer version.