Nope. If you have a legit 200ug, and you take it at 6, I would not expect to sleep well into the next am, say, after 5 or 6 in the morning. Even the lingering effects of LSD, well after the fun is gone, it can keep you awake and alert for a long time. It is always good to have something to help you sleep, like one of the pams or the lams. I keep some stashed just for such situations.
If it was actually 200ug then no I don't think you'd be able to sleep six hours after dropping without the use of some strong sleep aid (benzos or antipsychs)
No way IMO, I even have trouble sleeping when I start early in the day! OK that is not true for everybody, but you should expect to first ride out the duration of the trip..