The Colt 'New Service' when chambered for .38 Special, or, the Smith and Wesson .38-44 'N-Frame' Models - either of those would be alright I think for the Buffalo Bore ".158 Grain and 1,200 FPS' Cartridges.
Official Police or others, no doubt they CAN do it, but, we all know, it has to be a strain!
I would not do it myself.
Is the Cartridge in question any 'worse' of a strain than the pre-War ".38 Special Heavy Duty" Cartridge was?
Where, we may recall, during the 1930s, both Colt and S & W Warranted all their .38 Special Revolvers, to handle that alright? Even the diminutive 'Police Positive Specials'?
No, the present Buffalo Bore Cartridge we have in mind, is likely no 'worse' for Strain, than the pre-War .38-44 Cartridges were.
Would I have used those then?
No.
Would I use the BB +P one now?
No...
Would I consider to try a few ( very few ) practice rounds, and, then to use the Cartridges for Carry?
Maybe, I'd consider it...and, then, not do it.
If I wanted to Carry .357 Magnum, I would just carry a .357 Magnum!
How easy, simple and no worries at all, about straining the Revolver, then.