Hi Bro
This is not possible. Let me explain why.
Firstly, it should be static (inside,dmz) not the other way around, unless of course you're doing a 2-way NAT which is not your case.
The statement static (inside,dmz) 10.10.10.0 20.20.20.0 netmask 255.255.255.0 means you're doing IP TRANSLATION, which is not what you're doing either.
The only reason you use DNS Doctoring, is so that LAN users are able to see the internal web servers as a private address (the real address) when the DNS client is on LAN.
http://www.cisco.com/en/US/products/ps6120/products_configuration_example09186a00807968c8.shtml#intro
P/S: if you think this comment is useful, please do rate them nicely :-)
Warm regards,
Ramraj Sivagnanam Sivajanam