Just want to put my two cents in before I forget about this thread. I personally think that the claim show works great the way that it is set up. I have been to so many shows and wanted purchase animals from breeders to be told over and over again "Not For Sale". I like the fact that I don't have to go through the disappointment of not being able to buy the animals I want - everything is for sale. If you don't want to sell your animals, that's fine, don't show there, support the other shows!
As others have said - the "best" animals aren't claimed on the first night, many don't even bring their animals until the next morning. I don't go to the show looking to purchase the grand show - I go to look for animals that will fit well in my lines and have the traits I'm looking for in that line. For instance, the grand show champion this year is much lighter than any of the standards in my herd - I mostly have dark and extra dark animals, I couldn't use her in my standard lines, so she wasn't an animal I was looking for, though she's absolutely gorgeous.
I understand that it's difficult to get there on a Friday night - trust me, it's an 11 hour drive for me, I usually leave at 4-5am on Friday to be able to get there to see what's on the table and to help set up. I don't think that Friday night set up should be changed either, it's so much more lax on Saturday morning when you're not rushing to get all of your paperwork in.
My only suggestion would be to consider the auction process in the claim, though it may not work and may be too much of a hassle. The $250 limit is great, I'm very happy that the limit has been raised, but considering some may be willing to pay more than $250 on an animal - why not allow the animals to be auctioned up until 30 minutes after the show? That way people can't say they don't have a chance at the animal. It will bring more money in for the chapter, more money in for the seller. There was certainly one animal I would have paid more than $250 for at this last show, probably would have went up to $350, because she would have worked great in my lines, but I didn't get the chance to get her. That would have been an extra $10 in the pocket of the chapter if the other person who claimed her would have bid against me. It may be too much of a hassle, but I've always liked the way you can bid for animals at Nationals.. I think it's a great idea. I guess the entire idea of the claim show was to be able to go and get animals for a limit, allowing the smaller breeders to get a cut in the pie, so my idea may go completely against the reasoning, but it's something that I would personally be up for.