I wouldn't ask to see inside anyone's room, but after having a wander around you could come up with a reason to staff of why you want to see a room (I'm thinking of a holiday with a family member with disabilities and want to check there's enough wheelchair space, I'm planning a very special long weekend with my partner and want to be sure it's nice...) but then you have to be careful you don't ask too close to your stay in case they recognise you and wonder why you're alone. I think website pictures can give a very good idea of a room and if you walk around you will know if they have spyholes in the door, but other ladies may disagree with me and think pictures can be very unreliable.
I have never worked in a country where prostitution is illegal so all I can say on the safety thing is have a security buddy who will call you when the client has arrived and soon after he is supposed to have left. Put them on speed dial and agree that if you call in the middle of when you're supposed to have a booking, it means something is wrong. That way they know you're unsafe just by you managing to press the call button on your phone. I'm sure other ladies will be able to think of an excuse to give the police if they need to be brought into it?
I would never ever work from my hometown, but my hometown isn't that big and everyone there knows my family. If you work in a large city it could be absolutely fine. I wouldn't worry about a client being someone you know, as they'll keep their mouth shut about knowing, since you know they see escorts, but you could be spotted walking somewhere that doesn't fit with your "cover story" job from your work hotel/apartment, or there could be so few girls advertising in your area you have no plausible deniablity if someone gets suspicious and decides to check out online ads. So I think the size of the town matters. I work in the city I live in, but not my hometown in the sense of the place I grew up in, as I live far away from there.