Hmm, in order for someone to understand your problems with finding a "moderate" Republican, perhaps you'd like to define what YOU consider "moderate?"
I ask because I don't see how difficult it can be when there are a hundreds to choose from...in the House, Senate, Governor's offices, and even in your own State government.
IMO the likely problem is that you accept the view being pushed by many "left of center" advocates, influencers, social and news media.
I admit, when it seems like 80% of all media is pushing the same narrative, it is easy to fall into belief systems being pushed. It's nothing new, "yellow journalism" (propaganda posing as news) has been around as long as the printing press. Hell, even before that.