I don't know that's a safe assumption. I looked and found that I don't even have a .360 DW loaded right now. It really isn't an important load for me, since I use the Keith bullet in .38 Special brass mostly.
My assessment is to forget about getting .360 DW brass, unless you just want it for the novelty. The brass can be used at what I assume are factory lengths, but regular .357 brass allows a longer than factory OAL. That's the reason I can use 250 gr Beartooth flatnose gas check bullets sized at .359" in the chamber.
One combo I haven't tried is the 170 gr Keith in .357 Mag brass. with 15.0 gr 2400. I'm working on so many loads for Handi barrels, I just haven't gotten around to it, but it should be a good load.
My barrel shoots the 180 gr XTP very well, but doesn't like the 158 gr XTP at all.
The 125 gr Sierra JHC with 13.5 gr SR 4756 will clock at 2057 MV with 1175 ME. It's an effective bullet on Texas deer at lesser velocities (1600 fps), but I haven't tried it at these higher velocities. I normally (since 1973) shoot 14.5 gr of SR 4756, so the velocity has good potential for considerable increase.