I would use a completely separate device for that purpose, and use it on an open wifi or only turn it on with mobile connection to effect the transfer, then turn it off immediately.
One thing I would like to add is that places with open wifi usually have security cameras and you don't want to be caught on video tapping away on your laptop complete with timestamps. You should therefore use your device discretely - try to use it from the public toilet if the signal reaches there. Also wear a disguise as you enter or leave the location.
That's insanely paranoid even if it is the correct information. Jesus Christ what are you people doing, selling heroin to preteens or fucking babies the the park? Why don't you consider being a boring person by doing silly stuff like obeying the law. No one would care about you then. Nothing could be fun enough or profitable enough to make me hide in a stinky shitter to use my laptop.

I agree with this, I opened this thread only because I have some people questioning privacy when I set up an initiative to try count Bitcoin users through a Facebook group.
They think the government will finally see them if they join the group

The only thing they are right is that hackers around can see who is involved in Bitcoin, his name and more data.
Problem is, hackers don't care at all about your name when they look for prey.