I'd still stay with the 4s, as I think the f550 flies better with them. You could parallel your 3350mAh with another of the same, giving you 6670mAh, which with that frame should last 10mins+. I have heard of people loading up the flamewheels with multiple and larger batteries, but they have often extended the arms and are using better motors. I agree with Benjamin that it would be more beneficial to have the power and manoeuvrability up your sleeve, just in case.
You could also look to lighter batteries. Figure out your amp draw, then see what c-rating you require, and take it from there.