I looked at both your listings and it seems like you include the kitchen and living room in both as "common areas" so I am not quite sure what "Simi-private" space you are referring to the guests spending time in. Also "Guest on the go" can mean different things to different people. If you are specifically looking for people who are out and about most of their stay, you are going to find yourself getting frustrated or annoyed quite often, as some guest like to hang around, especially during these times when a lot of things are shut down.
With airbnb it is good to have very clear cut rules. Do not leave anything to interpretation. If guests are not allowed in certain areas, make that very clear. If you have quiet times, make that very clear.
Lastly, you say your living room is your work area, but it appears you are renting a bed in your living room, that has privacy screens around it. You really can not expect your guest to sit behind the privacy screens their entire stay. Of course they are going to step out into the living room or other accessible areas.
As for the coughing, there is really not much that can be done about that. It could be related to his smoking, but it could be other health issues as well, which may be beyond his control.
If you are really set on him leaving, then your options are to sit him down, and let him know that you feel your place is not a good fit for him, or like you said your schedules are not a good match. It doesn't sound like he specifically violated any rules, so it would be unwarranted to kick him out. It sounds like you have already researched other options for him, and since they are available, present them as a positive, such as "I found a place close by that is less expensive." If worst comes to worst you may have to bite your tongue and endure 10 more days.
Good luck.