By blue ice, I assume you mean some sort of gel filled ice pack. I'd take a look at using dry ice. Gel filled cubes or pouches could leak, and even though you are packing the ribs in plastic, the box could become a mess. Dry ice will melt into vapor instead of liquid.
This may not be cost effective for you, but there is an almost sure fire way to make sure your ribs arrive at thier destination well protected. If you have ever recieved mail order steaks, this is how they do it, and while I don't condone mail ordering steaks, I have used the cooler they came in to recieve ribs. My brother was testing a new smoker, so he sent some ribs to me, UPS 2 day guaranteed, in one of those shipping coolers. He froze the ribs, wrapped them well with plastic wrap, covered them with foil, then packed them with dry ice in the shipping cooler. The ribs arrived 2 days later, still frozen. We defrosted the ribs, and they were just about as good as fully-cooked reheated ribs could be.
As far as where to buy shipping coolers, I'm at a loss, but you might try
www.uline.com. I've never ordered from them, and I'm not even sure if they carry those, but I get their catalog, and they have about as complete line of shipping supplies as I've seen.
Good luck to ya!