I wish it was Cinnamon Bun Friday at my place too... Sigh.
As you can tell, I just read your profile. Hosts don't have to elaborate on their profile, but it is a really good thing to do. I often see host profiles which are entirely blank. I think that hosts who have info about themselves in their profile are more likely to get personal info back.
I don't ask for names of the travel company but they usually offer. ''It will be me, my husband Marvin and our grown daughter Suzie.''
Certainly you can prompt to tell you something about themselves and the purpose for their visit. ''What brings you to our part of the world, it is the cinnamon buns isn't it?'' (that would apply to me anyway)
If someone has booked without ID I should think that you can ask to see a driver's licence on arrival. You could keep a hotel logbook, available to buy ready made. If there is a line to fill in you won't feel awkward at check in!