UPDATE 09-2016
I did not follow this rule so to know how the card flow would be in the game.
Allowing on-guards now and 15 creatures minimum in the playdeck may prove
this rule obsolete.
OLD, but good
FATE will have each player face a different First Hazard Player every turn
for the first 20 turns. The player's Main Hazard Player will always
be the Second Hazard Player for the first 19 turns.
This means that one might have unplayable creatures when facing
other Divisions or his hand is clogged since the first hazard player
uses all the hazard limit. That is you have Ice-drakes in your
hand facing the Sun Land/South Division.
So, if the hazard limit is not passed to you, then you are able
to discard one and only one creature from your actually physical hand at that time before the
start of the site phase. However, you do not draw a card.
I hope this helps with card flow. This ruling's genesis was making the dark dwarf's hazard
deck for Cirdan, which is Coastal Seas. I would hate to be the Cirdan player for this game.
Oh, just avoid Coastal Sea movement? You are not serious right?

OTHER:
I like to create "sleeves" or a cover for each player that matches the size of the card except
for the spot over the upper-left corner. So one may cover the creature with this sleeve
and show opponent that the card is a hazard with a MP value. Yes, some hazard events
have MP value, so the sleeve will also be missing the location that "creature" is written on the cards
so it can be seen.