7 points
In most places, hats and coats are considered outerwear. You suggest someone wear a hat, and they’ll wear it everywhere.
I suggested ditching the hat (and coat) because people who dress for a theme, like OP, often let the theme override indoor/outdoor considerations.
Maybe in Texas they wear the hats indoors. But in most places, you go inside, you take your hat off immediately (and hang it up until you go back out).