It's tricky; plenty of T'ai Chi schools focus on the chi gung applications and ignore fighting. Some schools that do focus on practical applications go so far in debunking the mysticism that they throw the baby out with the bathwater. Googling here in Tampa Bay for the less popular internal martial arts* found me my school, which is called Clear Silat. Its nominal focus is Pentjak Silat; but after learning the basics, Xingyi, Systema, and eventually Bagua find their way in.

*Xingyi(quan)|Hsing-I Chuan, Bagua(zhang)|Pa Kua Chang, Liu He Ba Fa, and Meihuazhuang are Chinese internal arts. Systema is a Russian art that shares a lot with Tai Chi, but substitutes specialized calisthenics for chi gung, and guarantees you learn how to get punched. Pentjak Silat is an Indonesian art--actually a large group of arts, like Kung Fu--with a lot of fun knife and machete work.