Why set an arbitrary limit to the number of entries a person can enter, when you can just determine the number with a 2 step registration process.
Step 1) Put your personal information into the system and declare how many entries (1-82) you would like to enter. This can be done over the course of a week if you want. Then lock it down. No more people can enter. This fixes the problem of everyone logging on all at once.
Once you know how many people want to enter, then you set the limit on entries per person. Since you know how many entries each person would like to enter, you have the potential to allow the more ambitious brewers the opportunity to submit as many entries as the competition will allow. There is the potential of having more entrants than entries under this type of registration. I don't think we are there yet, but if we are there then the only fair way to allow members to enter is by lottery and limiting the entries to one per person (or household). If so, hold the lottery, inform the lucky and unlucky members and proceed to step 2. Assuming we have more entries than entrants, you then you let each member know how many entries they are allowed and proceed to step 2.
Step 2) Registering and paying for the entries. There could be a mad rush on certain regions, but at least you know there is spot available. Thus you will probably need to allow people to register in multiple regions. This window could be open for a week as well.