Had over 50,000 gold so I decided to try farming Trophy Rush for the rest of the hats. I now have 2 more to collect (Peach and Frog).
Here's some hat farming data from Trophy Rush:
65 runs, with 2:30 minutes.
I only started counting after I (finally) got the Fancy Pirate Hat.
Chef Hat -> Fancy Pirate Hat: 4 custom wrenches
Pirate -> Roman: 6 custom wrenches
Roman -> X-mas: 43 custom wrenches *
X-mas -> Samurai: 7 custom wrenches, 3 rounds
Samurai -> Dragon: 4 custom wrenches, 3 rounds
From here I used exclusively Peach:
Dragon -> Daisy: 20 custom wrenches, 3 rounds
Daisy-> Mario: 16 custom wrenches, 6 rounds
Mario -> Swimming Cap: 7 custom wrenches, 3 rounds
Swimming Cap -> Flower Master: 11 custom wrenches, 5 rounds
Flower Master -> Floral Hat: 5 custom wrenches, 2 rounds
Flora Hat -> Prince Hat: 9 custom wrenches, 3 rounds
*I was switching characters often, as I was trying to get all the characters up.
Average Amount of Rounds for a Hat: 3.5 rounds
Average Amount of Custom Wrenches for a Hat: 12 custom wrenches
Average Amount of Custom Wrenches not including *: 8.9
High Score Video *Over 500,000!:
6 Custom Wrenches in 1 Game: