I would love to hear where one can find these flying clubs, who are happy to book a plane for a single PPL student for 3-4 weeks.
The only realistic possibility is a commercial flight school. For an intensive PPL course you need weather that cooperates. This pretty much rules out half of Europe, unless you trust your luck.
I don't know anything about Greece, Italy is very much in the dark ages when it comes to general aviation, Spain has facilities for a course like that, but I much rather deal with CBP/DHS than Spanish ATC.