picking lux right now
is basically signing a contract saying you're ready for having an abysmally bad mana starved early, and maybe making up for it late if you're allowed to farm, or playing against bads that let you kill them.
lux needs some damn compensation buffs considering she's got horrible, inefficient wave clear(her e costs so much mana and has a pretty low base damage), bad trade potential considering mid is now almost all mobility, and to top it off has garbage mana costs coupled with extremely bad mana regen choices that force her to buy two mana items costing her valuable damage late game in which she fell off pretty hard even before this vendetta against mages started
the only thing that's in a good place for lux right now is her w, which is still crazy good if placed well. but that's it. everything else she does, xerath does better, safer, and has a mana regenerating passive to boot.
tl;dr lux has been indirectly nerfed into near trash tier.
will mostly deal with your mana issues. You are signing a contract saying you're willing to sacrifice cdr, though- your only real cdr options are
(lol not happening most games) or
, which are... meh.
,

not MR. Only a moron would rush MR on Akali and not any damage. Roaming is also irrelevant to this discussion.
and I take
and
, build them into
, and build penetration to make up for the lack of raw AP, with
and
, then I go for raw AP.