text: Yes to building=static_caravan.
  
  tourism=caravan_site is the wrong tag for these, as caravan site is for towable caravans (or motorhomes) to pull up into and stay temporarily, not static homes for rent or living.
  residential=trailer_park is one use, or if it's really for short-term lets in a holiday park (and not long-term lease of static homes, as many of these are) then tourism=chalet is used, "for lack of a better alternative", as the wiki page says.