I could be mistaken, but I seem to recall that in the “old days” (i.e. pre-conciliar) in the Latin Church, funerals were not to be done on Good Friday at all, but could be done on Holy Saturday. That is consistent with the practice in the Syriac Churches, although a “wake” (well, at least the equivalent) may be done on Holy (Good) Friday if necessary.
Perhaps someone will be interested in this: in the Syriac Churches the custom for a funeral is that the bells toll (not chime – there is a huge difference). The same is often done on Holy (Good) Friday. Of course that custom is second nature to me, and I think that it has a deep and great meaning. At the same time, though, I am not suggesting that it would be proper to toll the bells on Good Friday in the Latin Church.