I made it to the island when I put this question in. Since then I have been reduced back 3 islands. There is absolutely no reason to try and make it to Cake Island. Nothing there nothing special and you have to work to stay there every week for nothing. Forget that.
I just played level 252 and got 5301 stripe candies. My score is 101,386,640, so it took a few hours but I got lots and lots of striped candies out of it. Otherwise I play 1476 to get an average of 100 striped candies per game.