I think you should still build it, yes. The loss of crit sucks, but the stats are still good on him and he can abuse Sheen really well. I've seen a lot of Gangplank players that are still successful with Trinity Force, even though GP preferred the crit as well.
I want to answer but I actually have no idea. My recommendation for now is to just not play Corki since he seems to be awful with Trinity Force, but playing him without it is probably not much better.
He's worse than out of meta. He's not even meta for out of meta champions.
Like... All Corki brings to fights is damage. No utility, just damage. Now imagine Corki's in a weak spot because the damage he brings isn't enough to make him worth picking. Now imagine you cut that damage down by half.
I realize this question was posted a while ago, but he's getting some decent buffs as of patch 6.12. Hopefully this will help bring him up the standings
/r/gangplankmains are dying hard arguing it LOL
Like... All Corki brings to fights is damage. No utility, just damage. Now imagine Corki's in a weak spot because the damage he brings isn't enough to make him worth picking. Now imagine you cut that damage down by half.
And that's current Corki for you.