If what I saw yesterday was any indication of how busy the courses at the resort are lately, you'll have no problem getting a tee time on #2 on relatively short notice. We played #5 yesterday and just for kicks, I asked the guy in the pro shop what the tee sheet looked like on #2 and he said they had roughly 2-3 tee times completely open every 90 minutes or so. And that was on a Sunday with sunny skies and 72 degrees!
Having played #5 yesterday, I've now played 2,4,5,6,8. While I was pleasantly surprised with #5, I would personally go with 4 first, then 8, then flip a coin between 5 and 6. #3, I looked on the card and it's <6000 yards from the tips, which really surprised me that it was that short, though I don't really know why.