I am also on the same boat. I have been trying out different options mostly different kind of vases. I have been using an Ikea vase – https://www.ikea.com/in/en/p/flodbjoerk-plant-pot-in-outdoor-light-grey-brown-00560732/ which kinda working fine.

When travelling I use cases by Punal flutes: https://www.punamflutes.com/shop/products/Bansuri_Flute_Cases_Bags/