When it comes to my 5-shot snubs rated for use with +P loads, I typically use the following loads for carry, in no particular order:
Winchester RA38B (PDX1) 130gr +P
Remington 125gr +P HPJ/BJHP (Golden Sabre)
Speer 135gr GDHP +P
These middle weight JHP +P loads have mostly replaced the long-running Remington or Winchester 158gr LSWCHP/LHP +P loads I carried for many years. I have some boxes of both remaining, but I don't commonly carry them due to dwindling supply & availability.
I still have most of a box of the older Federal Nyclad 158gr LSWCHP +P, too, but I haven't commonly carried Nyclad since it was marketed by S&W, and then Federal, and was commonly found on store shelves.
While I still have a decent amount of the original Speer 125gr GDHP +P, I usually prefer to save it for the range (and save the harder-to-find 135gr +P version for carry).
I like to try and run the same loads for quals & training/drills as I do for carry, when possible, and with availability often being sporadic that means being more open to some variability, especially for qual/training ammo. I'll still occasionally use some major maker 130gr ball loads that surface in the training/qual inventory, or some old-style budget 125gr +P JHP that may appear now and again. (Hey, the price is right.
)
I'm less fussier about .38 Spl ammo than I used to be, especially with some of the newer designed defensive hollowpoints being offered nowadays, preferring to focus my attention on being able to run them controllably, accurately and effectively in my assorted +P capable J's.
My pristine 37-2 DAO only gets standard pressure loads, though.