If BitCoin exchanges are shutdown/banned in the USA outright...

[JeanLucPicard]

Can US citizens technically still use it?

[MyFarm]

Technically, yes.  Legally, probably not.  It would depend on if the law outlawed it, which it likely would.

[royalecraig]

Help protect the Net.
https://www.eff.org/deeplinks/2011/06/achievement-unlocked-set-up-tor-relays-get-a-molly-crabapple-poster

[Soros Shorts]

What if I were to lease a server in Sweden (or some neutral country that has not outlawd Bitcoin) and physically ran my Bitcoin client there controlling it remotely from the US? Assuming that I never send or receive Bitcoins to or from the US, would I still be breaking US laws then?

[Dobrodav]

If you will stay beneficiary of that, and will keep US citizenship, then   yes, technically  you will stay under US law. Say thanks to all that senators and other human trash, that you choose as your representatives. But that, will be much harder to proove in that case. Especially in case if you will not contact that remote note without TOR or other anonymity tech.