Thr build that i do with jayce is similar to your build but i think that do a Bloodthirster in early game is a mustake you first should get the Trinity Force Atma's Impaler.
But still +1

Nice build, i played Jayce alot when he came out and i usually had the standard ad carry build, id see this build more as a top jayce. Otherwise it was good and fun to read, + 1.

Please check out my Ezreal build, leave a comment and +1. Id apreciate it.
Ezreal, Master of QQing