.: Hotel Torre Del Mar :.
Tried the others offered by the handler and eventually went in search of our own, found this one a few years ago and we always go back there now.
Close to the airport but on the beach, walking distance to Ibiza town or a low cost taxi ride away. There is a ferry outside which takes you to Ibiza Town port (might only be in season).
Alternatively you could be uber cool and go here:
Hotel Es Vive Ibiza – The Cool and Luxury Boutique Hotel in Ibiza - home It's only open May through October.
Another option is in Santa Eulalia:
Sol Ibiza | Sol Ibiza hotel - Sol Melia Hotels -
Bit of a drive and probable dead off season though.