how to play vs akali as ap kogmaw mid?

how do i play vs akali as ap kogmaw mid?

i went as ap kogmaw mid vs akali, i went dusk and dawn into zhonyas (normally shadowflame). So basically i lost the whole laning phase, i know im supposed to scale as ap kogmaw but its seems impossible if she can just one shot me with her ult post level 6 and get out under turret safely, also she has inf sustain with gunblade

Any tips on how to play vs her? do i rush zhonyas 2nd like i did or maybe 1st? or is the right answer go a more classic artillery ap kogmaw with luden first?or do i just... roam a lot?

Thanks for any tips