I don't understand that one, I mean to be easier for the Europeans than to the Americans to cross the Atlantic. When Europeans go to the Caribbean they don't go to stay there but to make what is called "a volta do mar".
Volta do mar - Wikipedia, the free encyclopedia
The way is the same on one sense or another, nobody goes against the winds and everybody turns around. There is a timing for doing the "volta".
The only problematic timing in Europe is to sail in November to the Canary Islands. In November or even in late October there are years, like this one, were the storms keep coming on the North Atlantic one after another, but that is not a problem since the sensible thing would be to sail to the Canary Islands in late September, or if it is a good year in October and cruise there waiting the right time to cross, in November. So no problem at all.
For coming to Europe, you sail to Bermuda first and then to Azores. The right time to leave Bermuda is middle of May, or even beginning of June.
Nothing difficult about that and remember that most Europeans that cross the Atlantic, except the few that go for a circumnavigation are just doing the "Volta", the same thing you would be doing, except you start there while the Europeans start in Europe.
If you do that you should arrive to Galicia or Portugal in middle of June and will have 3 or 4 months to cruise. That will be enough for cruising Galicia, Portugal, and the Ballearic Islands, maybe even Corsica or Sardinia. You will not have time for more because Mediterranean cruising destinations are more and more spaced then the ones on the Caraibbean, but you can always do it several times. Many that do the the ARC are not doing it for the first time.