hiding barnumber only when rehearsalmark appears

[Akira]

Nowadays most concert band (or wind orchestra) score publishers use this style :
* Print barnumber on each bar
* But there is a rehearsal mark, hide it

for example, ( [ ] means square/rectangle)

 1     2      3     4    5     6    [A]    8   9  10
(Piccolo Music~~~~~~~~~~~~~~~~~~~~~~~~~~~~)
(Flute Music~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~)
(Oboes Music~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~)
(Clarinets Music~~~~~~~~~~~~~~~~~~~~~~~~~~~)
.....

Lilypond does not automatically hide barnumber.
I tried to do it with writing:

\once \override Score.BarNumber #'transparent = ##t
\mark \default

but 2 problems ocurred.
One is that, because of setting #'transparent, the rehearsalmark is in
too higher position so that it can avoid barnumber.(barnumber is not
hid but just transparent.)
The other is that, when grace note is used, overrides setting on
barnumber itself doesn't work, so barnumber won't hide.

How can this be solved?