If you really want a great deep-sea fishing experience, on the Pacific coast, contact
George Beckwith and charter the Dragin Fly out of Los Suenos.
On the Caribbean coast, Jimmy at Zona II has a package with some Lodge (that I hear is pretty good) for tarpon - and there's tarpon there all year long (a guest caught 5 tarpon Friday afternoon - Saturday ranging from 100 to 175 lbs and two of their guides went fishing Saturday and caught
15 tarpon).
Take a couple of t-shrts and that Zona II package will give you a week's worth of "what I did in Costa Rica" pictures...
Or, as we used to say, "cover for action, cover for status".