Hi,
You can create an "address" custom field, a radio or a dropdown, as you want.
Depending this custom field, the address will be display in the shipping list, in the billing list or in both lists depending the value.
It will require some override in order to modify the condition of how the addresses are display in the checkout, but that's not a big development.
Regards,
Jerome - Obsidev.com
HikaMarket & HikaSerial developer / HikaShop core dev team.
Also helping the HikaShop support team when having some time or couldn't sleep.
By the way, do not send me private message, use the "contact us" form instead.