This is for supplies, not classes? If so then I think having the phrase "Martial Arts Supply" in the name is necessary, to make sure people know it isn't (just) a studio. In fact, when it's also a studio, I tend to shy away, thinking they'll mostly have stuff just for their style (e.g., try finding eskrima sticks at a TKD school's supply shop--it's hit-and-miss). So, "Springfield Martial Arts Supply Store" or "Train Hard Martial Arts Supply Store" works for me!