Well I have a raincoat (not exactly trench style but a longer coat type) that I wear mostly when it's rainy in the winter (San Diego, like Tucson doesn't really get cold). I wear mainly to work (office) and get lots of compliments on it. But if I wasn't working and dressed all the time the way I do on weekends, I probably wouldn't get much use out of it.
Honey, it won't make you look OTT if you wear a trench coat in winter. I lived in London, and almost EVERYONE wore trench coats. It's fantastic unbuttoned or buttoned up and belted up. There's so much you can do with trenches. Go get one!!!
I have a gray trench coat and I just ordered this one from Kohls in dark purple. It was only about $8 after codes! I wear them with jeans and ballet flats or kitten heels. Its a great way to make a casual outfit look more chic!