I have used the Speer 220gr Hot Cor in my 358 Win for more than 20 years with great results, on elk, moose and mule deer. I have not yet used it in my 356 Win (still shooting thee 200gr factory ammo), but my hunting partner who gifted me the 356 rifle used them in his other 356 on his successful grizzly hunt in 2004. (I backed him up with my 358 in a BLR) 6'11" boar taken at 140 yards.
Powders I have listed to try with this bullet in the 356 are Win748, A2015, and IMR8208.