I want to know if it is possible to use a Samsung Galaxy Note on Virgin Mobile's network. If so how would I go about setting it up? Virgin doesn't currently offer the Note, so I can't just buy it from them. So would buying an unlocked version and calling Virgin's customer service to activate the phone on their network work?
Not in the USA. Virgin Mobile USA's network is CDMA, while the Galaxy Note is a GSM phone.
Virgin Mobile UK is a GSM network, so Galaxy Note will work on it. Although depending on whether the phone and the carrier use the same frequencies for 3G, you may only get 2G speeds.