Hmm, pissed-up Brits on the lash meet Latin males with vendetta culture and no tolerance of public drunkeness. Could be interesting.
Sure you don't want to try Cyprus - warmer and safer?
Aren't you being a bit exagerated?
It's not all about mafia and people not longer use grease, there are stupid people with the same concentration as every other country in the world.
As for public drunkness, as long as you don't disturb other people or put yourself and others into danger, it's perfectly tolerated.
Back on topic, may I suggest Sicily? Wonderful island, average temperature during winter/early spring never falls below 10 C°, the food is simply epic, and if you're planning also a road trip then the old Targa Florio circuit is right there.
As for golf courses here you could find a list of the main ones, unfortunately it's italian only, but nothing that google translate couldn't sort.http://www.italia-golf.it/golf/sicilia.php
You can easily reach the island by plane or by car taking the night ferry from Genoa.
Hope it helps