internal DNS, public IP : what would you do ?

[jacoute at free.fr]

Hi,

I have a small question about setting up an internal DNS server.
I own a domain name (let's say domain.com) which is administered by my ISP.
I have a firewall box between Internet, DMS and LAN. For internal DNS queries
towards DMZ (www.domain.com), should I:
- set up a domain.com zone with internal IP of my web server
- or set up port redirection on the public IP of my firewall

Basically, if I make a queries to my internal DNS server for www.domain.com,
should it give me the public IP (using my ISP DNS servers as forwarders, and
redirecting the www traffic on the correct computer on the DMS) or the
non-routable private IP of the www server on the DMZ ?

What is the recommended way ?
Thanks in advance for any hints.

Regards,

Antoine