Some drum notation questions

[Vaylor Trucks]

I have been using lilypond for years for my own projects and have recently
introduced it to a friend of mine.  He is a drum instructor and has been reading
drum notation for many years.  He's pointed out some things that are
non-standard about the way lilypond handles some drum notation tasks.  Most of
these I have been able to correct using a #(define block.  There are, however,
some things I have not yet been able to crack.

First, for hi-hat, the notation for open and closed are correct, but for the
half-open he would like to appear exactly like the open hi-hat notation, except
the "o" above the stem of the note needs to have a single slash through it.

Also, the note head for a China cymbal he notes by having a standard cross note
head, but with a box around it.

Can anyone point me in the right direction for making these changes?

Thanks,
Vaylor Trucks