I think checking for health should definitely be done at the check in table. Last swap I got some hammers that were cut down the middle of the skeleton (single heads were cut in half) from Bonus round picks.I believe that the check-in folks should have the authority to refuse those entries. The rules have been posted and the expectations made clear. It's on us as members to have an understanding of what is clearly communicated. If it isn't clear, then ask in the threads and come to the swap prepared. It is not fair to expect the folks at the tables to do that for you.
Also, let's be sure to bring healthy corals, especially if we are going to be counting them as an ultra!