Quote Originally Posted by Fishman Dan
With 2 players playing best ball, you should still have a full 18 holes recorded - so you should still be able to weigh that against your handicap. Like Drunken said, our 2 or 4B's are usually in conjunction with a single stableford. At my course they don't give you a 2nd card for the Best-ball scoring, they just look at the individual card and tally up from that.
You may not record all 18 holes, if you are not playing an individual event in conjunction.
If your ball is still in play and your partner has already finished the hole for 3 points, and you can't better that, then you would pick up.

I don't think a team event should count towards your handicap anyway, as you may use a different strategy to your normal play. That is, you may attack a shot, when you wouldn't normally, knowing that your partner is going to make a safe two pointer.