Re: Clairvoyance Alternative Rules (No Gaming the System)
Our group averages about the same, that's why we also have the more flexible guessing with the clairvoyance tokens. If you're good with those then you can more than make up for the penalties with the possible +12 from those.
You only need to average +2 total with this set up to make it to 2 cards and +5 total to make it to 3 cards.
It will be impossible to go from 4 wrong intuition placements to 3 cards, but doesn't that make sense? But even then placing your clairvoyance tokens right enough you can still get enough to get to 2 cards. So only truly poor playing should result in getting only 1 card while playing fairly well will get you to 3. Playing at average should land you at 2 cards, which I feel makes sense.
I just feel like the game under the standard rules was punishing us when we played too well.
Edit: If you try this rule and feel it was too difficult with your group though, you can always increase the starting point on the track to make up for 1 or even 2 more bad intuition placements.