I would like to suggest that you add preliminary tournament results to the registration table (in the last column after the nickname), i.e., indicate the current ranking of the person who submitted the save. And update these results as saves are received...

It is unlikely that the tournament organizers will agree to this. In this case, we might not receive saves from many participants at all, or everyone will send their saves on the very last day. Therefore, I would suggest a different approach. The rules state the following:
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9. The tournament starts on March 6 and will last until March 26 (inclusive). The results will be published on March 29, 2007.
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I would suggest publishing preliminary results more promptly, why not on March 27? The organizer can simply look at all the saves without checking them and provide a preliminary result. This can be done quickly. The saves can then be checked later, and the final result can be published a week later. I believe that this order of publishing the results is more appropriate for any offline Heroes tournament.