My friend's student bought a 3 week old kittie and told my friend that she can keep it, or dump it

the student can only keep it until tomorrow, and they'll call the shelter tomorrow....
my friend couldn't keep it since she's afraid of cats/dogs, and feel bad to just abandon it. I can't keep it because my dog doesn't do well with cats and I'm afraid she might hurt the kitty.
I've a friend who lives 3 hours away is willing to keep the kitty if we can get it to him. my other friend from that same city will come to Seoul in the next couple weeks, and can bring the kitty. If that fells through, I can definitely bring the kitty with my next month when I go visit my friends.
So I'm looking for a foster who can keep the kitty from 2 weeks to a month. hoping for someone with prior experience taking care young kitties before...
Thank you!