From what OP has said, North Carolina seems like a good pick. It's a big state with lots of red-voting areas and lots of land, but also several major cities with medical universities and abundant healthcare infrastructure. The only severe weather is the occasional hurricane, which is about as good as you're gonna get in the USA. Winters are relatively mild so you're not going to be buried in snow but summers aren't scorching with multiple days at or above 100 in a row most years. The East coast is still good for rainfall so you're probably not seeing the extensive wildfires either. The biggest issue coming from Cali would be adjusting to the humidity, which could be anywhere from moderate to severe in the summer months depending on the local topography.
NC also recently dropped their state income tax rate a couple of basis points if that sways your decision at all.