I’d strongly suggest to avoid York Way. If you’re coming from the city, I’d rather use up Pancras Road and Goods Way. Pancras Road often is a nuisance because its clogged with cabs, but York Way really is a complete and utter nightmare.
Kings Cross Gyratory should have protected cycle lanes along its routes – even if these cut into the road use. It’s necessary. Even if only using cones.
If cones can spring up overnight for ‘urgent’ maintenance and roadworks (which often remain for months whilst roadworks languish undone) then there is no excuse for not putting them up for cyclists until something a satisfactory and permanent segregated lane can be installed.