I would call them eavestroughs, with downspout. Some people call them gutters. Whatever. Small portion of sightly slanted roof becomes a torrential waterfall onto inner (non-covered) patio. Have looked at 2 models at Casa de Plomero, but they seem kind of flimsy to me. However, with "cup hook" holders under bottom sides (made by herrero)and attached to wall they might be OK. Only need about 6 - 7 feet long (due to peculiarity of design).
Thinking biggest size possible. If you have had this type of "thing" installed, please reply. Store-bought with supports? Herrero makes the whole thing? Kind of urgent but please, don't interfere if you have no experience here. Would know what to do in the north. We aren't there. 😉 Gracias!!