Quick drying t-shirts to wash during (urban) trips: Polyester? Nylon? Merino? Blend?

Hello everyone! First message here. So, I've checked and seen some opinions on different fabrics for t-shirts during travel, but they all seem to be focused on more outdoorsy/nature/hiking type of trips.

I am looking for t-shirts that I can take for my travels, that I can wash easily anywhere (could be a washing machine could be a hotel sink), and will dry fast (by fast I mean no longer than overnight, indoors, in the dark, even in relatively humid climates). Also they need to be usable as "city clothes", not only for hiking or outdoor activities. Wrinkle-free is extra points. As far as I know the options are (and correct me if I'm wrong):

• Polyester: Very fast drying, wrinkle-free, but could keep odor in the long run even when washing.
  
• Nylon: Softer than polyester but not as quick drying, and not as wrinkle-free.
  
• Merino wool: There's a lot of people who swear by it, resists odors better, and it's also quick drying, even tho not as quick as the previous two, and regulates temperature great. Is it that good? I also heard it's a lot more fragile, and it definitely is hell of a lot more expensive.
  
• Cotton: I assume it's a total no-no for quick drying.
  
• Blends: Which type of blends would be good? In which percentages?

All your experience and insight is appreciated!

EDIT: I see people mentioning other fabrics like hemp, bamboo or linen. Does anyone have experience with them?