Cornering - Fixed vs Singlespeed

There is only one thing stopping me from ditching the freewheel and go fixed and that's cornering.

I usually cycle pretty fast, and corner pretty sharp also, and since on a fixed, the pedals would keep turning, it would put me at risk of flopping off my bike when leaning.
That really puts me off.

A few factors are important as already mentioned, amongst them the most critical are crank arm length, BB height and pedal choice.

I have 165mm crank arms + high bottom bracket and Bebop clipless pedals on my Electron and the angle I have to lean the thing over to make my shoe touch the ground is frankly ludicrous ! (I could take a picture if you want?)

I would have to cornering practically on my side to strike, I would loose the tyres way before a strike at these kinds of angles. If your set up is sorted it is practically impossible to pedal strike on level ground (weird pot holes and curb strikes aside).