Yes, your Swan account will keep functioning normally, even if you move or travel overseas. Provided your US bank account maintains funds, we will continue purchasing Bitcoin as planned.
If you'd like to continue accessing your Swan account while overseas, you should use a VPN routed through the United States.
Otherwise, there is no need to update your contact information, since we do not send snail mail. All communication will continue to be done via email.
Enjoy your move or travel overseas!