Thanks for your feedback, it turned out I could have easily TIE-d the game and still would have won by a comfortable margin...
I went with Push The Ball for the reasons I described above and I realize that in this case pretty much any tactic would have worked fine (opponent with four starters on inept game shape and one on mediocre).
I was looking for a general rule (if there is one) about how to best exploit FCP, specifically about the pace of the offense which I should choose. Found a thread on the forum where this question was asked and it seemed some managers were saying a slow-paced offense would work best while others said fast-paced (which seems more convincing to me)... Thought I'd run it by you guys to see your opinion.
At this stage my team is slightly better playing an outside offense but I'm working in a direction where I hope to improve inside offense as well, so I can always have a choice on what to play and be able to change my offensive strategy often in order not to get hit by GDP. That's why I'm kind of looking for a general rule which I could use in the future...
On a different note I don't remember losing any game where my opponent played FCP. This is one defensive strategy which I would never run.