When seeing your request, I was immediately reminded of this guy I regularly saw at tournements over a decade ago. He always had this make-up artist trolley with him, filled with foam trays (and covered with very manly stickers of metal bands to avoid any confusion
). It was large enough to transport at least two armies in comfort.
Think something like these (the top ones):
I have no idea about pricing, sizing etc, but it might be worth looking into?