Hi Scott,
there's a couple of ways for you to set it up.
If the port translation through the router is 10.0.0.10 on port 25 at the moment, when the pix is in place and address changes made as planned, simply add a static translation / ACL on the pix for the new address eg
static (inside,outside) 10.0.0.10 192.168.1.10 netmask 255.255.255.255
access-list in_out permit tcp any host 192.168.1.10 eq smtp
access-group in_out in interface outside
The static will allow traffic from the mail server going out to translate to its original ip address requiring no further config on the router apart from clearing arp. Inbound traffic to the server will be natted through the router as before but now the pix will proxy arp for the server (192.168.1.10) on 10.0.0.10. So long as the routing is up to scratch, should all work fine.
This is the easiest way so won't even mention anything else.