You can probably use any kind of TV if you don't use it when the temps are really low, and if you have an insulated garage.
My garage is insulated and not heated. My weather is a bit colder than yours. Last Fall I put a computer out in the garage with a LCD monitor. It was not used all winter, but this Spring I fired it up once to change internet settings when I changed internet providers. The LCD worked OK. I don't know if it will work again next year, but it worked once after a winter in the garage unheated. My garage drops to the low 20s and upper 10s in the winter when I don't heat it.
I'd just give it a try. Buy something cheap. Consumer electronics is disposable junk anyway.