Storage is in hotel rooms, travel is ony during the week.
That is killer
Most hotels won’t knowingly let you store a bike in your room. So either you have to sneak it in and out every single time, or have a bike that can break down quickly. S&S couplings or similar won’t work for that. Brompton would be perfect but might not be the bike you want if you want to be able to get out for a longish ride
Plus you need to think about where you put your clothes, and the weight limit. A week at a time, personal and business clothes required. I reckon a Brompton or an Airnimal would be your best bet – former for folding and ease of storage, latter for actually riding
EDIT – I’m biased, I have a Brompton, I love it. If I was in your position I’d be taking the Brompton everywhere with me, but it doesn’t compare to riding a full sized bike. The clown bike is incredibly convenient though