The biggest problem Brian faces in cutting off one of Ted or Clay is that the timing is critical. He needs to ensure he has the votes lined up in secret prior to the TC, and to do so, he has to have Helen onboard.
The problem will be that perhaps that kind of manuevering by Brian will give Helen the final straw to see Jake's logic.
Or, there are many other possibilities, such as Brian manuevers, and gets caught, or perhaps Helen and Brian have had a secret alliance all along.
I am hoping that one of these possibilities comes to fruition, as that kind of end game playing could save this version of Survivor from going down as the worst yet.