The best thing to do is what happened to me some years ago in the Westhamption Member/Guest. I'd never played in the tournament before and I was informed before the tournament began by a member of the tournament committee that it was the second largest field for a member guest in the nation.
I remember asking him;
"Oh yeah, what does that mean?"
And he said to me;
"That means since you're first off tomorrow your tee time is 5:47am! Do you mind?"
I thought about that for a minute and said:
"Of course I don't mind. I'm a farmer and I get up well before the sun anyway and a 5:47am tee time is something I can tell my grandchildren about since although I've played in a thousand golf tournaments with early starting times I've never, in my memory, teed off in the 6 o'clock hour".
So we went off at 5:47 the next day. Although the sun didn't actually rise above the horizon for about half an hour we could see fine---and we were done and back home around 9am!