I think it's doable.
For existing T1 which connected on Outside interface, set specific route to VPN peer ip address. Apply nonat here as well. Make sure the ACL is correctly identify the source and destination network addresses. Do not configure 'global' here.
For new DSL, connect to e1 interface @ DMZ. Set default route via this interface. Tie the nat & global statement together, which defining/allowing internal segment to start connection and uses the DMZ to go out to internet (as global IP). Make sure you have necessary ACL to allow who/what can go in/out via permitted tcp/udp protocols.
HTH
AK