Hi Kerry,
You can store different config files in the flash or on an external FTP/TFTP server; and name them for ex SiteA.cfg SiteB.cfg SiteC.cfg... When you start the cold standby, either have an empty startup-config or you can clear the running-config after it boots:
conf t
clear configure all
then you can quickly copy the saved site config as the running-config and save it
copy flash:/SiteA.cfg running-config
wr me
NOTE: copy flash:/SiteA.cfg run actually merges SiteA.cfg with the current running config; that's why I recommend a clear configure all first
Option 2 would be using the boot config command:
conf t
clear configure all
boot config disk0:/SiteA.cfg
wr me
reload
NOTE: this requires a reboot to validate that the cold standby actually booted the correct config; therefore will take a bit more time to get the ASA ready.
Hope this helps
Patrick