It's not like you don't have any unpaid days off...Is that in central language? Our DOT place is a clinic that's open 24hrs.
They've tired to schedule me a appointment at 630am a few times and I tell them No I won't do that. They've also tried to do it on a Sat and Sun and I've told them No as well.
The earliest DOT appointment I'll do is 8am and I will never do one of a weekend.