Consider doing what I did to my T\C. I'm not a fan of brass on a hunting rifle so I took the T\C brass, sanded off that "finish stuff" the factory applied to the brass, then using a brass blacking solution, made it all black. BTW, the triggers and trigger guard in the photo are repro's of a real Hawken. I never liked the T\C version so I just changed those.
The T\C trigger plate is not really case hardened. That T\C finish comes off pretty easy. IIRC I used Naval Jelly. Watch navel jelly....it will remove bluing off of anything it touches in seconds.