Most cases that are designed to carry an 11" laptop, including those that are sleeve-designed, should work.

• EVA Slim Sleeve for Laptop / Chromebook w/ Handle 11.6" Black Fabric

• Voova-Resistant-Computer-Compatible-Chromebook

• Case Logic 133 Laptop Sleeve Black

For information on how you can safely clean your device, please see the link below.

• How to Sanitize a Chromebook

11" Chromebook specifications:
29.50 x 20.53 x 1.88 cm (11.61 x 6.08 x 0.74 in)