The resistors appear to be doing the trick! My LC2i is still warm, but its not nearly as hot as it was before. I had to readjust gains to compensate the resistors, but so far it appears to be working. Ive only spent about 30minutes max in my car during a single drive with the music going, so Im not 100% sure Im in the clear. But so far it appears to be working.
I'll update again once I have an a hour or so more seat time with the music going.