Build Question (Brand)

This was officially the most intense game I have ever been in.

http://matchhistory.na.leagueoflegends.com/en/#match-details/NA1/2384597454/233261828?tab=overview

Long story short it was over an hour long and kills were being traded left and right, and both of our inhibs were in danger. It was super fun, and we just managed to scrape out a win.

So throughout lategame, My build was

However once I died, I had a whole minute to decide what else I wanted to buy, as I had about 4k gold.

I knew I wanted to sell my boots for something, and I finally settled on .

However this made me much more of a target for Akali, so after dying once again, I wanted to buy to give me some movement speed.

However I was torn as to which item to replace with Ludens.

I couldn't decide and decided not to buy Ludens, and later on we won the game.

So my question is, which item should I have sold for Ludens? Or was I right to keep the build that I had?