A thousand cups carry your name into the places you want to be known, and you're the one who paid for them.
An ad asks people for their attention. A cup is already in their hand, every morning, for as long as the coffee lasts.
The name on it is the name that paid for it. In this community, being the one who put the cups in the beis medrash is remembered longer than the name itself. That's the part you're really buying, and it sits alongside whatever else you already advertise in.