Square Enix, this is an absolutely egregious oversight on your part and it needs to be addressed immediately.

This is my second week in a row I have been trolled out of 2 chests.

The problem is that you have set up these systems to prevent this kind of thing...but only if you are either:
1) The troll
2) The party leader
All 6 other people are absolutely clueless and have no power or knowledge in the situation until it is too late.

Some are saying the solution is to make my own PF, but that is not a solution. How are the 7 people who join my PF supposed to trust me? They have no way of knowing if I'm going to screw them out of a chest or not.

This is absolutely unacceptable. There is no reason to raid weekly anymore for me, and since that is the content I have, then there is no reason for me to stay subbed anymore. You have to fix this immediately or you will lose a lot of players, me included.