It is possible to marry anywhere in Tenerife, as we found out recently. All that's necessary is to pay a fee for the registrar to come out. The standard alternative is to marry in the Registry Office itself.
It's even possible to marry in the Santa Cruz Auditorium itself! There is a bit of controversy in some cultural quarters over whether it should be allowed there, but it is allowed. The fee to hire it for a wedding is €4.000 for a whole day, or €2.800 for a half day.
El Dia: possible to marry there
El Dia: controversy in some cultural quarters.