Thanks again to everyone for the advice. We just went yesterday and had a great time, so I thought I'd post some thoughts here in case anyone was interested.
We arrived for "rope drop" - ten minutes before opening time (9am) - and we where the second family there. We mingled around at the main street area for a few minutes, and then I decided to move up to "Country Fair" to do some rides instead of riding the earliest train ride (9:30). I think that was a good strategy. We got to the Country Fair around 9:10 or so. There were about a dozen employees milling about. I asked if it was open, and one said "sure, what do you want to ride?" We rode the carousel twice, the tilt-a-whirl once (that made me nearly barf), and the helicopters once by ourselves. We next went to the turnpike cars and had to wait about 5 minutes for a trip.
By that time it was about 9:50, and I decided to head back to the train depot to catch the next train ride, which was supposed to start around 10 or 10:15. The train ended up coming at about 10:20 or so. My kids enjoyed the train ride, but they were pretty bored by the shootout and the jokes in the show (they're only 5 and 2). Some other kids were screeching in terror.
After the train ride we took the chair lift up to miner's mountain (that was terrifying - how hard could it be to add seat belts!). We saw the 11:00 kids show, had some lunch, then rode a bunch of the rides up there. I think that the miner's mountain area doesn't open until 10 - it said that the chair lift doesn't start until 10. Even when we started riding rides there around 11:45 there was never much of a wait.
On the mouse train ride my two year old jumped off the train while it was stopped inside the cheese mine and gashed open a couple of spots on her face! Luckily she couldn't care less about it, and someone was nice enough to give her a Spongebob band-aid. She wore it proudly for the rest of the day!
We went to the petting zoo, did some more rides, took the bus back down and finished with another go-around on the carousel. It was 2 by then and I was wiped out, and the kids probably would have had a meltdown if they didn't get a nap soon (which they did in the car - even the 5-year-old).
All in all we had a great time. It is a great family-friendly park. We never waited more than 5 minutes for anything, except the train ride (I am guessing that in the high season they have two trains running at a time, but yesterday there was just one train). I would recommend it for anyone with kids 10 or younger.
