KENR, the moderator on the Birmingham section has written:
Don't forget that anyone considering appealing and wants advice or information should post this on the Appeals Forum and include B/Ham and the score in the title.
I would think this includes Bishop Vesey's. Although it is not a KE, it is now the same exam.
You won't get in off the waiting list, I am afraid, so, to have any chance, it would have to be an appeal. I know it is extremely difficult to win an appeal for the KE schools (about 5 in 180 appeals are successful) but possibly there is a different process for Bishop Vesey's.
Many boys in the city and beyond will have failed to secure a grammar even though they are already level 5's across the board so I think you would need stronger academic evidence than this. Kenr, however, will have a better idea how to proceed than I do.