Thanks all -- I did make it to PAR, at 0600 today (instead of 0835 yesterday). Turned out that was the best option; the next best was I think BA which would have gotten in around 1130. I was even able to change my reservation at the Park Hyatt Vendome from May 8-12 to May 9-13, still on points.
I hear that on flights to/from the EU you are entitled to a €600 credit in this kind of situation -- I am talking to AF about this. Any tips?