Y'all know how much I hate to waste things and I couldn't bring myself to throw out the broken stands. So, I came up with a solution: embellish them! I got some 'kragle' (aka Krazy Glue - Lego Movie, anyone?) and glued the tops back on to the stands. Then, to hide the unsightly cracks, I tied a ribbon around them! The one stand that only had some chips on the plate got some flower ribbon on the front. I would've done it all around except I didn't have a long enough piece (not to self: order more). Problem solved. They're not perfect (one still has some chips on the plate part), but I think they'll do just fine. In fact, I may use them even if the replacements arrive on time and unharmed.
Side note: None of the ribbon is permanently attached so I can change the ribbon to match the theme/decor.