There are many makes and styles of cases, and just about all them can accommodate an accessorized bow. 

Most cases have two bow storage racks, and the rack that will NOT close opposite to the chin rest will usually work. 

Always close with extra care the first time, to make sure there is room. 

If there is not quite enough room, or, if accessory interferes with the bow clip/spinner,

then simply abandon the rack system. 

Just lay the bow on the belly of the instrument (protected it with a blanket or cloth)

nestling the accessorized frog end of the bow into the scroll storage area.

However, with some very small outfits, say 1/16ths,

we find it just as easy to tuck the bow in the music tote bag after lessons.

However, sometimes you have to be a bit creative! For those special circumstances where creativity is needed, check out our YouTube playlist of "Alternative Storage Methods".