In the email templates you can change the address by replacing
{{var quote.getBillingAddressFormatted().format('html')}}
with other address details from the quoteadv_customer table where each field can be called.
for instance to print the shipping_firstname field you can use {{var quote.getShippingFirstname()}}
Common fields:
{{var quote.getShippingCompany()}}
{{var quote.getShippingFirstname()}}
{{var quote.getShippingLastname()}}
{{var quote.getShippingAddress()}}
{{var quote.getShippingPostcode()}}
{{var quote.getShippingRegion()}}
{{var quote.getShippingCountryId()}}
{{var quote.getShippingTelephone()}}