Are you using a chronograph to monitor your loads? "Too hot" is a relative thing.
Bullseye is a bit of a fast powder to use for .357 rifle loading, maybe giving more "flash and dash" than a slower burning powder. Many manuals suggest AA#7, H-110, 2400, etc.
Check Lyman, Hodgdon, Alliant and other printed or online loading sources for some powder suggestions. I have not used Bullseye in any rifle reloading that I remember, so I can't offer any information for that powder.