XpMorten
Too many inponderables in your question.
But you must know that at the flair you will be a tab above the stall and the 2.5 g limit will be absolutely unattainable.
Also the c of g will be the determinant of the elevator power available to give you a pitch rate.
My guess of an average max rate pitch at the flare would be about 10 degrees/second but this would likely take you through stall warning to a stall.