Transporting catering dessert shooters

Seeking advice on the experienced catering professionals!  Our business has recently added 2 oz dessert shooters to our catering offerings although we are seeking out the best possible way of transport of large catering events.  Previous issues we have ran into is keeping them upright and stable from kitchen to event.  Please let me know if you have any experience with certain products with this type of catering medium. 

Thank you!!