Outter pocket might work for that.

This fits the bill perfectly, with a comfortable handle, good cushioning on the interior, places for two bows, enough pockets for a cloth, rosin, and chin rest

I love the extra pocket on the outside to hold my shoulder rest and other items.

On most cases the pocket is too shallow.

it is very light and has nice pockets

My daughters full size student violin fits perfectly, with a nice pocket on the outside to fit her chin rest.