Did it with 10 carrots left! 
Not sure if you can actually do any better than that, I was very careful with the carrot usage.
I think an undo here would’ve been really nice to have, restarting all the way to the beginning was a bit brutal :P. I also wonder if the choice of end tile could’ve helped a bit better for making the journey a little more interactive with the chess pieces. It was nice to travel with the pieces and get pushed by them, but I felt like I often didn’t need to? Maybe giving the bunny king moves would open it up a bit more?