I know they ship for free as long as you meet a certain cost of purchase. Not sure about shipping on weekends though. You can try checking other aftermarket sites. Try 4Wheelonline, that's where I bought my set of Toyo tires last Black Friday sale.
Patrick Lee posted an answer to: What are Disney Store's shipping rates and policies? Do they ship internationally? Do they ship on time? — 5 days ago
I'll try to check. My daughter is requesting a large tsum tsum plush.